174 citations · 478 across the 30 of their papers we have counts for
18 papers · 1 filter
Regularity results for classes of Hilbert C*-modules with respect to special bounded modular functionals
Michael Frank
Considering the deeper reasons of the appearance of a remarkable counterexample by J.~Kaad and M.~Skeide [17] we consider situations in which two Hilbert C*-modules w…
B-spline interpolation problem in Hilbert C*-modules
Rasoul Eskandari, Michael Frank, Vladimir Manuilov +1
We introduce the -spline interpolation problem corresponding to a -valued sesquilinear form on a Hilbert -module and study its basic properties as well as the uniquene…
Extensions of the Lax-Milgram theorem to Hilbert C*-modules
R. Eskandari, M. Frank, V. M. Manuilov +1
We present three versions of the Lax-Milgram theorem in the framework of Hilbert C*-modules, two for those over W*-algebras and one for those over C*-algebras of compact operators.…
Orthogonality preserving property for pairs of operators on Hilbert -modules
Michael Frank, M. S. Moslehian, Ali Zamani
We investigate the orthogonality preserving property for pairs of mappings on inner product -modules extending existing results for a single orthogonality-preserving mapping.…
A reflexivity criterion for Hilbert C*-modules over commutative C*-algebras
M. Frank, V. Manuilov, E. Troitsky
A C*-algebra is C*-reflexive if any countably generated Hilbert C*-module over is C*-reflexive, i.e. the second dual module coincides with . We show that a com…
Module weak Banach-Saks and module Schur properties of Hilbert C*-modules
M. Frank, A. A. Pavlov
Continuing the research on the Banach-Saks and Schur properties started in (cf. M. Frank, A. A. Pavlov, Banach-Saks properties of C*-algebras and Hilbert C*-modules (submitted)) we…