Persons: Frank, Michael

Persons

RUS ENG

JOURNALS PEOPLE ORGANISATIONS CONFERENCES SEMINARS VIDEO LIBRARY PACKAGE AMSBIB

JavaScript is disabled in your browser. Please switch it on to enable full functionality of the website

Frank, Michael

Total publications:	41 (41)
in MathSciNet:	32 (32)
in zbMATH:	32 (32)
in Web of Science:	17 (17)
in Scopus:	22 (22)
Cited articles:	21
Citations:	174

Number of views:
This page:	245
Abstract pages:	390
Full texts:	209
References:	50

Website:

http://www.imn.htwk-leipzig.de/~mfrank/

https://www.mathnet.ru/eng/person23749

List of publications on Google Scholar

List of publications on ZentralBlatt

https://mathscinet.ams.org/mathscinet/MRAuthorID/225811

https://www.scopus.com/authid/detail.url?authorId=16439773000

Full list of publications:

scientific publications

		Citations (Crossref Cited-By Service + Math-Net.Ru)

1.	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	2 ^[x]
2.	R. Eskandari, M. Frank, V. M. Manuilov, M. S. Moslehian, “$B$-spline interpolation problem in Hilbert C*-modules”, J. Operator Theory, 2020 , arXiv: math.OA/2004.01444
3.	M. Frank, M. S. Moslehian, A. Zamani, “Orthogonanility preserving property for pairs of operators on Hilbert C*-modules”, 2019, arXiv: math.OA/1711.04724
4.	M. S. Moslehian, A. Zamani, M. Frank, “Angle preserving mappings”, Zeitschr. Anal. Anwend., 34 (2015), 485–500	13 ^[x]
5.	M. Frank, A. A. Pavlov, “Module weak Banach-Saks and Schur properties of Hilbert C*-modules”, J. Operator Theory, 70 (2013), 53–73
6.	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	11 ^[x]
7.	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
8.	M. Frank, K. Sharifi, “Adjointability of densely defined closed operators and the Magajna-Schweizer theorem”, J. Operator Theory, 63 (2010), 271–282
9.	M. Frank, K. Sharifi, “Generalized inverses and polar decomposition of unbounded regular operators on Hilbert C*-modules”, J. Operator Theory, 64 (2010), 377–386
10.	M. Frank, A. A. Pavlov, “Strict essential extensions of C-algebras and Hilbert C-modules”, J. Operator Theory, 64 (2010), 101–114
11.	M. Frank, V. M. Manuilov, E. V. Troitsky, “Hilbert C*-modules from group actions: beyond the finite orbit case”, Studia Math., 200 (2010), 131–148	6 ^[x]
12.	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
13.	M. Frank, A. A. Pavlov, “Banach-Saks properties of C-algebras and Hilbert C-modules”, Banach J. Math. Anal., 3 (2009), 91–102	2 ^[x]
14.	M. Frank, “Characterizing C-algebras of compact operators by generic categorical properties of Hilbert C-modules”, J. of K-Theory, 2:3 (2008), 453–462	12 ^[x]
15.	M. Frank, P. Găvruţa, M. Sal Moslehian, “Superstability of adjointable mappings on Hilbert C*-modules”, Applicable Analysis and Discrete Mathematics, 3 (2008), 39–45	1 ^[x]
16.	M. Frank, A. A. Pavlov, “Strict essential extensions of C-algebras and Hilbert C-modules”, J. Operator Theory, 2007 , arXiv: math.OA/0710.0586
17.	M. Frank, “Frames for Hilbert C*-modules”, Mini-workshop: Wavelets and Frames, Febr. 15-21, 2004, Mathematisches Forschungsinstitut Oberwolfach, org.: H. G. Feichtinger, Palle Jørgenson, David R. Larson, Gestur Olafsson, MFO Report, 10, 2004, 496–499
18.	M. Frank, “Approximation of frames by normalized tight ones”, Mini-workshop: Wavelets and Frames, Febr. 15-21, 2004, Mathematisches Forschungsinstitut Oberwolfach, org.: H. G. Feichtinger, Palle Jørgenson, David R. Larson, Gestur Olafsson, MFO Report, 10, 2004, 528–532
19.	M. Frank, “Modular frames for Hilbert C*-modules, and their relations to wavelet and Gabor analysis”, Functional Analysis VII, Proc. Postgraduate School and Conf., Inter-University Centre, Dubrovnik, Croatia, 15-22 June 2003, Various Publications Series, 47, University of Aarhus, Aaarhus, Denmark, 2004, 105–109
20.	M. Frank, L. P. Klotz, “A duality method in prediction theory of multivariate stationary sequences”, Math. Nachr., 244 (2002), 64–77	4 ^[x]
21.	M. Frank, “Hahn-Banach type theorems for Hilbert C*-modules”, Int. J. Math., 13 (2002), 675–693	4 ^[x]
22.	M. Frank, D. R. Larson, “Frames in Hilbert C-modules and C-algebras”, J. Operator Theory, 48 (2002), 273–314
23.	M. Frank, “The commutative case: spinors, Dirac operator and de Rham algebra”, NCG and the Standard Model of Elemenary Particle Physics, Lect. Notes Phys., 596, Springer Verlag, Berlin, 2002, 21–39
24.	M. Frank, “Hilbertian versus Hilbert W*-modules, and applications to $L^2$- and other invariants”, Acta Math. Appl., 68 (2001), 227–242	1 ^[x]
25.	M. Frank, D. R. Larson, “A module frames concept for Hilbert C*-modules”, Functional and Harmonic Analysis of Wavelets, San Antonio, TX, Jan. 1999, Contemp. Math., 247, eds. D. R. Larson and L. W. Baggett, A.M.S., Providence, RI, U.S.A., 2000, 207–233	22 ^[x]
26.	M. Frank, “Geometrical aspects of Hilbert C*-modules”, Positivity, 3 (1999), 215–243	25 ^[x]
27.	M. Frank, E. Kirchberg, “On conditional expectations of finite index”, J. Operator Theory, 40 (1998), 87–111
28.	M. Frank, V. M. Manuilov, E. V. Troitsky, “Conditional expectations connected with group actions”, Moscow Univ. Math. Bull., 53:2 (1998), 32–36
29.	M. Frank, V. M. Manuilov, E. V. Troitsky, “On conditional expectations arising from group actions”, Zeitschr. Anal. Anwendungen, 16 (1997), 831–850	7 ^[x]
30.	M. Frank, “A multiplier approach to the Lance-Blecher theorem”, Zeitschr. Anal. Anwendungen, 16 (1997), 565–573	2 ^[x]
31.	M. Frank, “Isomorphisms of Hilbert C-modules and $$-isomorphisms of related operator C*-algebras”, Math. Scand., 80 (1997), 313–319	2 ^[x]
32.	Funct. Anal. Appl., 30 (1996), 257–266
33.	M. Frank, V. M. Manuilov, “Diagonalizing "compact" operators on Hilbert W*-modules”, Zeitschr. Anal. Anwendungen, 14 (1995), 33–41	7 ^[x]
34.	M. Frank, “Hilbert C-modules over monotone complete C-algebras”, Math. Nachr., 175 (1995), 61–83	11 ^[x]
35.	M. Frank, “Spectral and polar decomposition in AW*-algebras”, Zeitschr. Anal. Anw., 11 (1992), 335–341
36.	M. Frank, “Direct integrals and Hilbert W*-modules”, Problems in Algebra, Geometry and Discrete Mathematics, eds. O. B. Lupanov, A. I. Kostrikin, Moscow State University, Dept. Mech. Math., Moscow, Russia, 1992 (russ.)
37.	M. Frank, “Self-duality and C-reflexivity of Hilbert C-modules”, Zeitschr. Anal. Anw., 9 (1990), 165–176	28 ^[x]
38.	M. Frank, “One-parameter groups arising from some real subspaces of self-dual Hilbert W*-modules”, Math. Nachr., 145 (1990), 169–185
39.	M. Frank, “Von Neumann representations on self-dual Hilbert W*-modules”, Math. Nachr., 145 (1990), 187–199
40.	M. Frank, “Elements of Tomita-Takesaki theory for embedable AW*-algebras”, Annals Global Anal. Geom., 7 (1989), 115–131	2 ^[x]
41.	M. Frank, “A set of maps from $K$ to $End_A(l_2(A))$ isomorphic to $End_{A(K)}(l_2(A(K)))$. Applications”, Annals Global Anal. Geom., 3 (1985), 155–171	5 ^[x]

Organisations

Registration to the website

Logotypes