Some Publications:
For requests and comments: michael.frank@htwk-leipzig.de, Michael Frank, Leipzig, Germany.
[70] M. Frank,
Regularity results for classes of Hilbert C*-modules with respect to special bounded modular functionals,
preprint math.OA/2207.13164 at www.arxiv.org, 15 pages, 2022.
[69] M. Frank, L. Klotz,
Stability of trigonometric approximation in Lp and applications to prediction theory.
Annals of Funct. Anal., 2022(2022), article no. 52, 39 pages / preprint math.ST/2104.13132 at www.arxiv.org, 2021.
[68] M. Frank, M. S. Moslehian,
A. Zamani,
Orthogonality preserving property for pairs of operators on Hilbert C*-modules, Aequat. Math. 95(2021),
867-887, DOI: 10.1007/s00010-021-00790-1.
[67]
R. Eskandari,
M. Frank, V. M. Manuilov,
M. S. Moslehian,
B-spline interpolation problem in Hilbert C*-modules,
J. Operator Theory 86(2021), no. 2, 275-298.
http://dx.doi.org/10.7900/jot.2020apr17.2281.
[66] M. B. Asadi,
M. Frank, Z. Hassanpour-Yakhdani,
Frameless Hilbert C*-modules, II, Complex Analysis and Operator Theory (CAOT) 14(2020), article no. 32(2020),
DOI: 10.1007/s11785-020-00990-8.
[65]
R. Eskandari,
M. Frank, V. M. Manuilov,
M. S. Moslehian,
Extensions of the Lax-Milgram theorem to Hilbert C*-modules,
Positivity 24(2020), 1169-1180, DOI:
10.1007/s11117-019-00726-9.
[64] M. Frank, Studienrichtung Bibliotheksinformatik an der HTWK Leipzig, Bibliothek:
Forschung und Praxis (BFP) 43(2019), Heft 2, 262-265, ISSN (Online) 1865-7648, ISSN (Print) 0341-4183,
DOI: 10.1515/bfp-2019-2065.
[63]
St. Frank, M. Frank, Bibliothekarische Studiengänge an der HTWK Leipzig: Veränderung und Kontinuität,
in: "Zukunft der Informationswissenschaft. Hat die Informationswissenschaft eine Zukunft? Grundlagen und Perspektiven - Angebote in der Lehre -
Forschungsfronten der Informationswissenschaft", Herausgeber: Prof. Dr. W. Bredemeyer, Simon-Verlag für Bibliothekswissen, Berlin, 2019, 254-268,
ISBN 978-3-945610-50-3, DOI: 10.1515/bd-2017-0099.
[62] M. B. Asadi,
M. Frank, Z. Hassanpour-Yakhdani,
Frameless Hilbert C*-modules, Glasgow Math. J. 61(2019), no. 1, 25-31.
[61] M. Frank, Tischvorlage als Diskussionsgrundlage für TOP 8 "Austausch und Kooperation Informatik"
der Herbsttagung der Konferenz der informations- und bibliothekswissenschaftlichen Ausbildungs- und Studiengänge (KIBA),
Fachhochschule Potsdam, 09.-10.11.2017, erbeten von Prof. Dr. Günther Neher, 2p..
[59] M. Frank, Studienrichtung Bibliotheksinformatik in Leipzig - Intentionen und erste Erfahrungen, Vortrag auf dem
FaMI-Tag in Hamburg, 16.11.2016.
[58] M. Frank,
Studienrichtung Bibliotheksinformatik in Leipzig - Intentionen und erste Erfahrungen, eingeladener Vortrag auf dem
32. Österreichischen Bibliothekarstag an der Universität Wien, 15.-19.09.2015.
[57] M. S. Moslehian,
A. Zamani,
M. Frank, Angle Preserving Mappings, Zeitschr. Anal. Anwend. 34(2015), 485-500;
preprint math.FA/1504.06293 in www.arxiv.org, 2015.
[56] M. Frank,
Bibliotheken und Informatik - eine unvollendete Geschichte, im Jubiläumsband zum
100jährigen Bestehen der Bibliothekarsausbildung in Leipzig
"Zeitreisen in die bibliothekarische Zukunft 1914 - 2014 - 2114", BibSpider, Berlin, 2014, ISBN 978-3-936960-85-3,
Bezugsquelle und Details, s.a. Rezension des Buches.
[55]
C. Helbig,
K. Rink,
H.-S. Bauer,
V. Wulfmeyer, M. Frank,
O. Kolditz,
Concept and workflow for 3D visualization of atmospheric data in a virtual reality environment
for analytical approaches, Environmental Earth Sciences, March 2014, 14 pp., DOI 10.1007/s12665-014-3136-6.
[54]
C. Helbig,
K. Rink,
H.-S. Bauer,
V. Wulfmeyer, M. Frank,
O. Kolditz,
3D visualization of atmospheric data for analytical approaches,
Eurographics Conference on Visualization,
Eurographics Conference on Visualization (EuroVis), Workshop
on Visualisation in Environmental Sciences (EnvirVis), Proceedings, eds.: K. Rink, O. Kolditz and G. Scheuermann,
June 17-21, 2013, Helmholtz Centre for Environmental Research (UFZ) Leipzig, Germany, pp. 1-5,
DOI: 10.2312/PE.EnvirVis.EnvirVis13.019-023, 2013.
[53] M. Frank, A. A. Pavlov,
Module weak Banach-Saks and module Schur properties for Hilbert C*-modules, J. Operator Theory 70(2013), 101-121.
[52] M. Frank,
Frames in Hilbert C*-modules and stabilization, talk given at
ESI12 "Modern Methods of Time-Frequency Analysis II", Workshop 5 "Operator Algebras and Time-Frequency Methods" at the Erwin-Schrödinger-Institut
of the University of Wien, Wien, Austria, November 21, 2012.
[51] M. Frank,
M. B. Asadi,
A characterization of Hilbert C*-modules as Banach
modules with involution, Lin. Algebra Appl. (LAA) 437(2012), 722-725.
[50]
C. Helbig,
K. Rink,
A. Marx,
J. Priess, M. Frank,
O. Kolditz,
Visual integration of diverse environmental data: A case study in Central Germany, Session
G1.2: Integration of heterogeneous data and environmental models (with special emphasis on integration
of data and models), Proceedings of
iEMSs Conference 2012,
Helmholtz Centre for Environmental Research (UFZ) Leipzig, Germany, July 1-5, 2012.
[49] M. Frank,
Usabilitybetrachtungen von OPAL mit der analytischen Methode Concept-based Analysis of Surface and
Structural Misfits (CASSM). Eine Nutzerperspektive,, at: 9th Workshop on eLearning (WEL'11), Oct. 24-25, 2011, HTWK Leipzig, Leipzig, Germany.
[48] M. Frank,
A. S. Mishchenko,
A. A. Pavlov ,
Orthogonality-preserving, C*-conformal and conformal module mappings on Hilbert C*-modules,
J. Funct. Anal. 260(2011), 327-339.
[47] M. Frank, A. A. Pavlov,
Errata on "Banach-Saks properties of C*-algebras and Hilbert C*-modules",
Banach J. Math. Anal. 5(2011), 94-100.
[46] M. Frank,
V. M. Manuilov ,
E. V. Troitsky ,
A reflexivity criterion for Hilbert C*-modules over commutative C*-algebras,
New York J. Math. 16(2010), 399-408.
[45] M. Frank,
V. M. Manuilov ,
E. V. Troitsky ,
Hilbert C*-modules from group actions: beyond the finite orbits case,
Studia Mathematica 200(2010), 131-148.
[44] M. Frank, K. Sharifi,
Generalized inverses and polar decompositions
of unbounded regular operators on Hilbert C*-modules, J. Operator Theory 64(2010), no. 2, 377-386.
[43] M. Frank, A. A. Pavlov,
Strict essential extensions of C*-algebras and Hilbert C*-modules, J. Operator Theory 64(2010), no. 1, 101-114.
[42] M. Frank, K. Sharifi,
Adjointability of densely defined closed operators
and the Magajna-Schweizer theorem, J. Operator Theory 63(2010), no. 2, 271-282.
[41] M. Frank, P. Găvruţa,
M. S. Moslehian,
Superstability of adjointable
mappings on Hilbert C*-modules, Appl. Anal. Discrete Math. 3(2009), 39-45.
[40] M. Frank,
Characterizing C*-algebras of compact operators by generic categorical properties of Hilbert C*-modules,
Special issue in memory of Yurii Petrovitch Solov'ev, J. of K-Theory 2(2008), 453-462.
[39] M. Frank, A. A. Pavlov,
Banach-Saks properties of C*-algebras and Hilbert
C*-modules, Banach J. Math. Anal. 3(2009), 91-102. /
Talk
given at the International Conference "Differential Equations and Topology" dedicated to the Centenial
Anniversary of Lev Semenovitch Pontryagin (1908 - 1988), Moscow, Russia, June 17-22, 2008.
[38] M. Frank, V. I. Paulsen , Injective and projective Hilbert C*-modules,
and C*-algebras of compact operators, preprint math.OA/0611348 at arxiv.org,
2006.
[37] M. Frank,
Video Capturing and Presentation Tools for e-Learning,
In: Proceedings of the International Conference on Theoretical and Applied Aspects of Program
Systems Development (TAAPSD’2005), December 07-09, 2005, National University "Kiyv-Mohyla
Academy", Kiev, Ukraine, ISBN 966-8290-11-9.
Added in July 2006: Authorpoint elearning presentation creation software, brought to my attention by Jagdeep. S. Pannu.
[36] M. Frank,
K. Hänßgen,
Electronic Media
Resource Center Ukraine (eMeReCU) - opinions and impressions, presented at
Workshop on e-Learning, HTWK Leipzig,
July 11-12th, 2005, in: "Auf dem Weg vom Hype in die Konsolidierung?",
Proceedings of the Workshop on e-Learning 2005, HTWK-Leipzig, 11-12 July, 2005, Nov. 2005, 165-172,
ISSN 1610-1014.
[35] M. Frank, Modular frames for Hilbert C*-modules, and their
relations to wavelet and Gabor analysis, in: Functional Analysis VIII, Proc. Postgraduate
School and Conference, Inter-University Centre, Dubrovnik, Croatia, 15-22 June 2003,
eds.: D. Bakic, G. Muic, P. Pandzic, G. Peskir, Various Publications Series No. 47, University
of Aarhus, Dept. Math. Sci., Aarhus, Denmark, Dezember 2004.
[34] M. Frank,
Frames in Hilbert C*-modules, extended abstract of a talk given at the Mini-Workshop
"Wavelets and Frames" held at Mathematisches Forschungsinstitut Oberwolfach,
February 2004 (see Report
of the entire Mini-Workshop).
Problems in frames approximation
in Hilbert spaces.
[33] M. Frank, "Erfolgreicher Abschluss nach fünf Jahren.
DREFA Media Service GmbH übergibt Software MIRAAN an den Hessischen Rundfunk."
Newsletter
der DREFA Media Holding GmbH 8/2003.
[32] M. Frank, V. I. Paulsen , Injective envelopes of
C*-algebras as operator modules, Pacific J. Math. 212(2003), 57-69.
[31] M. Frank, Content Management als Integrationsleistung,
in: Neues Content Management - Ist das Fernsehen für die Zukunft gerüstet? ,
Tagung 26.-27.11.2002 in Leipzig, IRT und MDR,
PDF-Version (2120 kB)
.
[30] M. Frank,
The commutative case: spinors, Dirac operator and de Rham algebra, in:
'Noncommutative Geometry and the Standard Model of Elementary Particle Physics',
eds.: F. Scheck, W. Werner, H. Upmeier, Springer-Verlag, Heidelberg, 2002,
Lect. Notes Physics 596(2002), 21-39.
[29] M. Frank, D. R. Larson , Frames in
Hilbert C*-modules and C*-algebras, J. Operator Theory 48(2002),
273-314.
[28] M. Frank, On
the Hahn-Banach theorem for Hilbert C*-modules, Internat. J. Math.
13(2002), 675-693.
[27] M. Frank, L.
Klotz, A duality method in prediction theory of multivariate stationary
sequences, Math. Nachr. 244(2002), 64-77.
[26] M. Frank,
Injective envelopes and local multiplier algebras of C*-algebras, Int. Math.
J. 1(2002), no. 6, 611-620.
[25] M. Frank, V. I. Paulsen, T. R. Tiballi, Symmetric approximation of
frames, Trans. Amer. Math. Soc. 354(2002), 777-793.
[24] M. Frank,
Hilbertian versus Hilbert C*-modules, and applications to L2- and
other invariants, Acta Appl. Math. 68(2001), 227-242.
[23] M. Frank, D. R. Larson,
Modular frames
for Hilbert C*-modules and symmetric approximation of frames, in:
SPIE's 45th Annual Meeting, July 30 - August 4, 2000, San Diego, CA, Session:
4119 - Wavelet Applications in Signal and Image Processing VIII, Proceedings
of SPIE 4119(2000), 325-336.
[22] M. Frank, D. R. Larson, A module frame
concept for Hilbert C*-modules, in: Functional and Harmonic Analysis of Wavelets
(San Antonio, TX, Jan. 1999), A.M.S., Providence, R.I., Contemp. Math.
247 (2000), 207-233.
[21] M. Frank,
Geometrical aspects of Hilbert C*-modules, Positivity 3 (1999),
215-243.
[20] M. Frank,
Normal conditional expectations of finite index and sets of module generators,
Universität Leipzig, 1998.
[19] M. Frank,
Beiträge zur Theorie der Hilbert-C*-Moduln (German) , Habilitation
Thesis, 149 pp., Universität Leipzig, 1997 / published: ISBN 3-8265-3217-1,
Shaker-Verlag, Aachen, 1997, (the
link).
[18] M. Frank, V. M. Manuilov and E. V. Troitsky , Conditional
expectations connected with group actions (Russian), Vestn. Mosk. Univ., Ser.
Mat. Mech. , no. 3 , 30-34, 1998.
[17] M. Frank, E.
Kirchberg , On conditional expectations of finite index, J. Operator
Theory , 40(1998), 87-111.
[16] M. Frank, A
multiplier approach to the Lance-Blecher theorem, Zeitschr. Anal. Anwendungen
16(1997), 565-573.
[15] M. Frank, V. M. Manuilov and E. V. Troitsky, On conditional
expectations arising from group actions, Zeitschr. Anal. Anwendungen
16(1997), 831-850.
[14] M. Frank,
Isomorphisms of Hilbert C*-modules and *-isomorphisms of related operator
C*-algebras, Math. Scand. , 80(1997), 313-319.
[13] M. Frank,
Hilbert C*-modules and related subjects -- a guided reference overview, (about
630 references that time, now about 910 references - and guided), preprint no. 13/1996,
ZHS-NTZ, Univ. Leipzig, F.R.G., 1996.
See this
webpage for the online-source (*.ps- and *.pdf-files provided)
[12] M. Frank, E. V. Troitsky , Lefschetz numbers
and geometry of operators in W*-modules, Funkts. anal. prilosh.,
30(1996), no. 4, 45-57 / Funct. Anal. Appl. 30(1996), no.
4, 257-266.
[11] M. Frank, V. M. Manuilov , Diagonalizing
''compact'' operators on Hilbert W*-modules, Zeitschr. Anal. Anwendungen
14(1995), 33-41.
[10] M. Frank,
Hilbert C*-modules over monotone complete C*-algebras, Math. Nachr.
175(1995), 61-83.
[9] M. Frank,
Normal operator-valued weights of finite index, NTZ-preprint
8/1993, ZHS-NTZ, Univ. Leipzig, F.R.G., 1993 / revised: April, 1995.
[8] M. Frank,
Direct integrals and Hilbert W*-modules (Russ./Engl.), In : Problems in
Algebra, Geometry and Discrete Mathematics, eds.: O. B. Lupanov, A. I.
Kostrikin, Moscow State University, Dept. Mech. Math., Moscow, Russia, 1992,
162-177.
[7] M. Frank,
Spectral and polar decomposition in AW*-algebras, Zeitschr. Anal. Anwendungen
11(1992), 335-341.
[6] M. Frank, Von
Neumann representations on self-dual Hilbert W*-modules, Math. Nachr.
145(1990), 187-199.
[5] M. Frank,
One-parameter groups arising from some real subspaces of self-dual Hilbert
W*-modules, Math. Nachr. 145(1990), 169-185.
[4] M. Frank,
Self-duality and C*-reflexivity of Hilbert C*-modules, Zeitschr. Anal.
Anwendungen 9(1990),165-176.
[3] M. Frank,
Elements of Tomita-Takesaki theory for embeddable AW*-algebras, Annals Global
Anal. Geom. 7(1989), 115-131.
[2] M. Frank,
Beiträge zur Entwicklung und systematischen Darstellung der Theorie der
Hilbert-C*-Moduln (German) , Dissertation - Ph. D. Thesis,
Karl-Marx-Universität Leipzig, G.D.R., 1988.
[1] M. Frank, A
set of maps from K to EndA(l2(A)) isomorphic
to EndA(K)(l2(A(K))) . Applications., Annals
Global Anal. Geom. 3(1985), 155-171.
Book Reviews:
[B11] Book by
K. Saitô, J. D. M. Wright, Monotone Complete C*-algebras and Generic Dynamics,
Springer Monographs in Mathematics, Springer London, 2015. Book Review in: Math. Reviews, 3445909.
[B10] Book by
C. Alabiso, I. Weiss, A Primer on Hilbert Space Theory, series UNITEXTfor Physics,
Springer International Publishing Switzerland, Cham, 2015. Book Review in: Math. Reviews, 3244114.
[B9] Book by
A. Ya. Helemskii, Quantum Functional Analysis.
Non-Coordinate Approach., University Lecture Series 56, Amer. Math. Soc., Providence,
RI, 2010. Book Review in: Math. Reviews, 2012c:46141.
[B8] Book by
P. Ara, M. Mathieu, Local Multipliers of C*-Algebras, Springer, London,
2003. Featured Review in: Math. Reviews, 2004b:46071.
[B7] Book by A.
L. T. Paterson, Groupoids, Inverse Semigroups, and their Operator
Algebras, Birkhäuser, Basel - Boston, MA - Berlin, 1999. Book Review in:
Zeitschr. Anal. Anwendungen 19(2000), 286-288.
[B6] Book by D.
P. Blecher, P. S. Muhly, V. I. Paulsen, Categories of Operator Modules
(Morita Equivalence of Projective Modules), Memoirs Amer. Math. Soc.
143(1999), no. 681. Featured Review in: Math. Reviews , 2000j:46132.
[B5] Book by M.
Wolff, O. Gloor, C. Richard, Analysis Alive, Birkhäuser, Basel - Boston,
MA - Berlin, 1998. Book Review in: Zeitschr. Anal. Anwendungen
18(1999), 817.
[B4] Book by C.
S. Kubrusly, An Introduction to Models and Decompositions in Operator
Theory, Birkhäuser, Boston, MA - Basel - Berlin, 1997. Book Review in:
Zeitschr. Anal. Anwendungen 17(1998), 523-524.
[B3] Book by R.
Kannan, C. K. Krueger, Advanced Analysis on the Real Line, Springer, New
York, 1996. Book Review in: Zeitschr. Anal. Anwendungen 16(1997),
233-234.
[B2] Proceedings
Algebraic Methods in Operator Theory, eds.: Raul Curto, Palle E. T.
Jorgensen, Birkhäuser, Boston, MA - Basel - Berlin, 1994. Book Review in:
Zeitschr. Anal. Anwendungen 14(1995), 201-203.
[B1] Book by K.
K. Jensen, K. Thomsen, Elements of KK-theory, Birkhäuser, Boston, MA -
Basel - Berlin, 1991. Book Review in: Zeitschr. Anal. Anwendungen
11(1992), 284.
Michael Frank; last changes and additions: July 26, 2022.