174 citations · 478 across the 30 of their papers we have counts for
31 papers
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.…
Angle Preserving Mappings
Mohammad Sal Moslehian, Ali Zamani, Michael Frank
In this paper, we give some characterizations of orthogonality preserving mappings between inner product spaces. Furthermore, we study the linear mappings that preserve some angles…
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…