11 citations · 70 across the 23 of their papers we have counts for
9 papers · 1 filter
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…
On Kuiper type theorems for uniform Roe algebras
Vladimir Manuilov, Evgenij Troitsky
Generalizing the case of an infinite discrete metric space of finite diameter, we say that a discrete metric space is a Kuiper space, if the group of invertible elements of…
Geometric essence of "compact" operators on Hilbert -modules
Evgenij Troitsky
We introduce a uniform structure on any Hilbert -module and prove the following theorem: suppose, is a bounded adjointable morphi…