Some Publications:

For requests and comments: michael.frank@htwk-leipzig.de, Michael Frank, Leipzig, Germany.


[56] M. Frank, Bibliotheken und Informatik - eine unvollendete Geschichte, preprint, März 2014, erscheint im Jubiläumsband zum 100jährigen Bestehen der Bibliothekarsausbildung in Leipzig, "Zeitreisen in die bibliothekarische Zukunft 1914 - 2014 - 2114", HTWK Leipzig, 2014.
[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.: M. Hlawitschka and T. Weinkauf, 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:


[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 and 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.

Home Page of Michael Frank

Michael Frank; last changes and additions: May 8th, 2014