24 citations · 100 across the 43 of their papers we have counts for
51 papers
On topological obstructions to the existence of non-periodic Wannier bases
Yu. Kordyukov, V. Manuilov
Recently, M. Ludewig and G. C. Thiang introduced a notion of a uniformly localized Wannier basis with localization centers in an arbitrary uniformly discrete subset in a comple…
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…
Inverse semigroups of metrics on doubles related to certain subsets
V. Manuilov
Recently we have shown that the equivalence classes of metrics on the double of a metric space form an inverse semigroup. Here we define an inverse subsemigroup related to a fa…
On extendability of functionals on Hilbert -modules
V. Manuilov
Let be Hilbert -modules over a -algebra with . It was shown recently by J. Kaad and M. Skeide that there exists a non-zero -valued function…
On Hochschild homology of uniform Roe algebras with coefficients in uniform Roe bimodules
V. Manuilov
It was shown recently by M. Lorentz and R. Willett that all bounded derivations of the uniform Roe algebras of metric spaces of bounded geometry are inner. Here we calculate the sp…
On the inverse semigroup of bimodules over a C*-algebra
Vladimir Manuilov
It was noticed recently that, given a metric space , the equivalence classes of metrics on the disjoint union of the two copies of coinciding with on each copy f…