11 citations · 70 across the 23 of their papers we have counts for
27 papers
Banach-compact operators, -precompactness, and frames in Hilbert -modules
Denis Fufaev, Evgenij Troitsky
For a pair of Hilbert -modules over a -algebra , there are two notions of ``rank-one operators'': $θ_{x,y} : \mathcal{M} \to \math…
Locally adjointable operators on Hilbert -modules
Denis Fufaev, Evgenij Troitsky
In the theory of Hilbert -modules over a -algebra (in contrast with the theory of Hilbert spaces) not each bounded operator (-homomorphism) admits an adjoint. The…
A new uniform structure for Hilbert -modules
Denis Fufaev, Evgenij Troitsky
We introduce and study some new uniform structures for Hilbert -modules over an algebra . In particular, we prove that in some cases they have the same totally bounded sets…
On Hilbert C*-modules with Hilbert dual and C*-Fredholm operators
Vladimir Manuilov, Evgenij Troitsky
We study such Hilbert C*-modules over a C*-algebra , that the Banach -dual module carries a natural structure of Hilbert -module. In this direction we prove that if is…
Reidemeister classes, wreath products and solvability
Evgenij Troitsky
Reidemeister (or twisted conjugacy) classes are considered in restricted wreath products of the form , where is a finite group. For an automorphism of fi…
Twisted conjugacy in residually finite groups of finite Prüfer rank
Evgenij Troitsky
Suppose, is a residually finite group of finite upper rank admitting an automorphism with finite Reidemeister number (the number of -twisted conjugacy classes). W…