88 citations
- Leipzig UniversityDE36 papers
- Center for Scalable Data Analytics and Artificial IntelligenceDE7 papers
- Ferdowsi University of MashhadIR5 papers
- Lomonosov Moscow State UniversityRU5 papers
- Max Planck Institute for Mathematics in the SciencesDE4 papers
- Farhangian UniversityIR3 papers
- Max Planck Institute for MathematicsDE3 papers
- Universität HamburgDE3 papers
- Delft University of TechnologyNL2 papers
- Helmholtz Centre for Environmental ResearchDE2 papers
- Lancaster UniversityGB2 papers
- Parc Científic de la Universitat de ValènciaES2 papers
9 papers · 1 filter
C*-submodule preserving module mappings on Hilbert C*-modules
Michael Frank
Let be a (non-unital, in general) C*-algebra with center of its multiplier algebra, and let be a full Hilbert -module. Then any bije…
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.…
Orthogonality-preserving, C*-conformal and conformal module mappings on Hilbert C*-modules
Michael Frank, Alexander S. Mishchenko, Alexander A. Pavlov
We investigate orthonormality-preserving, C*-conformal and conformal module mappings on Hilbert C*-modules to obtain their general structure. Orthogonality-preserving bounded modul…