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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 | by years | by types | by times cited | common list |


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

Articles

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  crossref  mathscinet  zmath  isi  scopus 2
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. S. Moslehian, A. Zamani, M. Frank, “Angle preserving mappings”, Zeitschr. Anal. Anwend., 34 (2015), 485–500  crossref  mathscinet  zmath  isi  elib  scopus 13
4. 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
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 11
6. 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
7. 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
8. 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
9. M. Frank, A. A. Pavlov, “Strict essential extensions of C*-algebras and Hilbert C*-modules”, J. Operator Theory, 64 (2010), 101–114
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 6
11. 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
12. 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
13. 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
14. 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
15. M. Frank, A. A. Pavlov, “Strict essential extensions of C*-algebras and Hilbert C*-modules”, J. Operator Theory, 2007 , arXiv: math.OA/0710.0586
16. 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
17. 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
18. 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
19. 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
20. M. Frank, “Hahn-Banach type theorems for Hilbert C*-modules”, Int. J. Math., 13 (2002), 675–693  crossref  mathscinet  zmath  adsnasa  isi  scopus 4
21. M. Frank, D. R. Larson, “Frames in Hilbert C*-modules and C*-algebras”, J. Operator Theory, 48 (2002), 273–314  mathscinet  zmath
22. 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
23. 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
24. 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
25. M. Frank, “Geometrical aspects of Hilbert C*-modules”, Positivity, 3 (1999), 215–243  crossref  mathscinet  zmath  isi  scopus 25
26. M. Frank, E. Kirchberg, “On conditional expectations of finite index”, J. Operator Theory, 40 (1998), 87–111  mathscinet  zmath
27. 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 7
28. M. Frank, “A multiplier approach to the Lance-Blecher theorem”, Zeitschr. Anal. Anwendungen, 16 (1997), 565–573  crossref  zmath  scopus 2
29. 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
30. M. Frank, V. M. Manuilov, “Diagonalizing "compact" operators on Hilbert W*-modules”, Zeitschr. Anal. Anwendungen, 14 (1995), 33–41  crossref  mathscinet  zmath 7
31. M. Frank, “Hilbert C*-modules over monotone complete C*-algebras”, Math. Nachr., 175 (1995), 61–83  crossref  mathscinet  zmath  isi  scopus 11
32. M. Frank, “Spectral and polar decomposition in AW*-algebras”, Zeitschr. Anal. Anw., 11 (1992), 335–341  crossref  zmath
33. 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.)
34. M. Frank, “Self-duality and C*-reflexivity of Hilbert C*-modules”, Zeitschr. Anal. Anw., 9 (1990), 165–176  crossref  mathscinet  zmath 28
35. 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
36. M. Frank, “Von Neumann representations on self-dual Hilbert W*-modules”, Math. Nachr., 145 (1990), 187–199  crossref  mathscinet  zmath  isi  scopus
37. M. Frank, “Elements of Tomita-Takesaki theory for embedable AW*-algebras”, Annals Global Anal. Geom., 7 (1989), 115–131  crossref  mathscinet  zmath  scopus 2
38. 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 5

ArXiv

39. M. Frank, M. S. Moslehian, A. Zamani, “Orthogonanility preserving property for pairs of operators on Hilbert C*-modules”, 2019, arXiv: math.OA/1711.04724
40. 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
41. Funct. Anal. Appl., 30 (1996), 257–266  mathnet  crossref  crossref  mathscinet  zmath  isi  scopus

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