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Frank, Michael
Statistics
in MathSciNet: 32 (32)
in zbMATH: 32 (32)
in Web of Science: 17 (17)
in Scopus: 22 (22)
Website: http://www.imn.htwk-leipzig.de/~mfrank/

https://www.mathnet.ru/eng/person23749
List of publications on Google Scholar
https://mathscinet.ams.org/mathscinet/MRAuthorID/225811
https://www.scopus.com/authid/detail.url?authorId=16439773000

List of publications:
| scientific publications | by years | by types | by times cited | common list |


Citations (Crossref Cited-By Service + Math-Net.Ru)
1. M. Frank, “Self-duality and C*-reflexivity of Hilbert C*-modules”, Zeitschr. Anal. Anw., 9 (1990), 165–176  crossref  mathscinet  zmath 31
2. M. Frank, “Geometrical aspects of Hilbert C*-modules”, Positivity, 3 (1999), 215–243  crossref  mathscinet  zmath  isi  scopus 30
3. 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  crossref  mathscinet 22
4. M. S. Moslehian, A. Zamani, M. Frank, “Angle preserving mappings”, Zeitschr. Anal. Anwend., 34 (2015), 485–500  crossref  mathscinet  zmath  isi  elib  scopus 15
5. 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  crossref  mathscinet  zmath  isi  elib  scopus 12
6. 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  crossref  mathscinet  zmath  isi  scopus 12
7. M. Frank, V. M. Manuilov, E. V. Troitsky, “On conditional expectations arising from group actions”, Zeitschr. Anal. Anwendungen, 16 (1997), 831–850  crossref  mathscinet  zmath  scopus 11
8. M. Frank, “Hilbert C*-modules over monotone complete C*-algebras”, Math. Nachr., 175 (1995), 61–83  crossref  mathscinet  zmath  isi  scopus 11
9. Funct. Anal. Appl., 30 (1996), 257–266  mathnet  crossref  crossref  mathscinet  zmath  isi  scopus
10. 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  crossref  mathscinet  zmath  isi  elib  scopus 7
11. M. Frank, V. M. Manuilov, “Diagonalizing "compact" operators on Hilbert W*-modules”, Zeitschr. Anal. Anwendungen, 14 (1995), 33–41  crossref  mathscinet  zmath 7
12. 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  crossref  mathscinet  zmath  scopus 6
13. M. Frank, L. P. Klotz, “A duality method in prediction theory of multivariate stationary sequences”, Math. Nachr., 244 (2002), 64–77  crossref  mathscinet  zmath  scopus 4
14. M. Frank, “Hahn-Banach type theorems for Hilbert C*-modules”, Int. J. Math., 13 (2002), 675–693  crossref  mathscinet  zmath  adsnasa  isi  scopus 4
15. 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  crossref  mathscinet  zmath  isi  scopus 2
16. M. Frank, A. A. Pavlov, “Banach-Saks properties of C*-algebras and Hilbert C*-modules”, Banach J. Math. Anal., 3 (2009), 91–102  crossref  mathscinet  zmath  isi  elib  scopus 2
17. M. Frank, “A multiplier approach to the Lance-Blecher theorem”, Zeitschr. Anal. Anwendungen, 16 (1997), 565–573  crossref  zmath  scopus 2
18. M. Frank, “Isomorphisms of Hilbert C*-modules and $*$-isomorphisms of related operator C*-algebras”, Math. Scand., 80 (1997), 313–319  crossref  mathscinet  zmath  isi  scopus 2
19. M. Frank, “Elements of Tomita-Takesaki theory for embedable AW*-algebras”, Annals Global Anal. Geom., 7 (1989), 115–131  crossref  mathscinet  zmath  scopus 2
20. M. Frank, P. Găvruţa, M. Sal Moslehian, “Superstability of adjointable mappings on Hilbert C*-modules”, Applicable Analysis and Discrete Mathematics, 3 (2008), 39–45  crossref  adsnasa  isi  scopus 1
21. M. Frank, “Hilbertian versus Hilbert W*-modules, and applications to $L^2$- and other invariants”, Acta Math. Appl., 68 (2001), 227–242  crossref  mathscinet  zmath  isi  scopus 1
22. 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
23. M. Frank, M. S. Moslehian, A. Zamani, “Orthogonanility preserving property for pairs of operators on Hilbert C*-modules”, 2019, arXiv: math.OA/1711.04724
24. M. Frank, A. A. Pavlov, “Module weak Banach-Saks and Schur properties of Hilbert C*-modules”, J. Operator Theory, 70 (2013), 53–73  crossref  mathscinet  zmath  isi  elib  scopus
25. 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  crossref  mathscinet  zmath  isi  elib  scopus
26. M. Frank, K. Sharifi, “Adjointability of densely defined closed operators and the Magajna-Schweizer theorem”, J. Operator Theory, 63 (2010), 271–282  mathscinet  zmath  adsnasa
27. M. Frank, K. Sharifi, “Generalized inverses and polar decomposition of unbounded regular operators on Hilbert C*-modules”, J. Operator Theory, 64 (2010), 377–386  mathscinet  zmath
28. M. Frank, A. A. Pavlov, “Strict essential extensions of C*-algebras and Hilbert C*-modules”, J. Operator Theory, 64 (2010), 101–114
29. 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  mathscinet  zmath  elib
30. M. Frank, A. A. Pavlov, “Strict essential extensions of C*-algebras and Hilbert C*-modules”, J. Operator Theory, 2007 , arXiv: math.OA/0710.0586
31. 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  mathscinet
32. 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
33. 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  mathscinet  zmath  adsnasa
34. M. Frank, D. R. Larson, “Frames in Hilbert C*-modules and C*-algebras”, J. Operator Theory, 48 (2002), 273–314  mathscinet  zmath
35. 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  crossref  mathscinet  zmath  adsnasa
36. M. Frank, E. Kirchberg, “On conditional expectations of finite index”, J. Operator Theory, 40 (1998), 87–111  mathscinet  zmath
37. M. Frank, V. M. Manuilov, E. V. Troitsky, “Conditional expectations connected with group actions”, Moscow Univ. Math. Bull., 53:2 (1998), 32–36  mathnet  mathscinet  zmath
38. M. Frank, “Spectral and polar decomposition in AW*-algebras”, Zeitschr. Anal. Anw., 11 (1992), 335–341  crossref  zmath
39. 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.)
40. M. Frank, “One-parameter groups arising from some real subspaces of self-dual Hilbert W*-modules”, Math. Nachr., 145 (1990), 169–185  crossref  mathscinet  zmath  isi  scopus
41. M. Frank, “Von Neumann representations on self-dual Hilbert W*-modules”, Math. Nachr., 145 (1990), 187–199  crossref  mathscinet  zmath  isi  scopus

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