174 citations · 478 across the 30 of their papers we have counts for
9 papers · 1 filter
A multiplier approach to the Lance-Blecher theorem
Michael Frank
A new approach to the Lance-Blecher theorem is presented resting on the interpretation of elements of Hilbert C*-module theory in terms of multiplier theory of operator C*-algebras…
On Hahn-Banach type theorems for Hilbert C*-modules
Michael Frank
We show three Hahn-Banach type extension criteria for (sets of) bounded C*-linear maps of Hilbert C*-modules to the underlying C*-algebras of coefficients. One criterion establishe…
Hilbert H*-modules and Hilbert modules over (non-self-adjoint) operator algebras -- a reference overview II
Michael Frank
The two reference lists contain 54/22 references of papers and preprints concerned with the theory and/or various applications of Hilbert modules over Hilbert -algebras and over…
Isomorphisms of Hilbert C*-Modules and -Isomorphisms of Related Operator C*-Algebras
Michael Frank
Let be a Banach C*-module over a C*-algebra carrying two -valued inner products , which induce equivalent to the given one norms on .…
Lefschetz Numbers and Geometry of Operators in W*-modules
Michael Frank, Evgenij V. Troitsky
The main goal of the present paper is to generalize the results of~\cite{TroLNM,TroBoch} in the following way: To be able to define $K_0(A)ø\C$-valued Lefschetz numbers of the firs…
Diagonalizing ''compact'' operators on Hilbert W*-modules
Michael Frank, Vladimir M. Manuilov
For W*-algebras A and self-dual Hilbert A-modules M we show that every self-adjoint, ''compact'' module operator on M is diagonalizable. Some specific properties of the eigenvalues…