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19942023
most citedDouglas factorization theorem revisited

24 citations · 100 across the 43 of their papers we have counts for

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36 papers · 1 filter

math.OA2023★ 2 cited

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…

math.OA2023

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…

math.OA2022★ 1 cited

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…

math.OA2022★ 1 cited

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…

math.OA2021

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…

math.OA2021★ 2 cited

Left multipliers of reproducing kernel Hilbert -modules and the Papadakis theorem

M. Ghaemi, V. M. Manuilov, M. S. Moslehian

We give a modified definition of a reproducing kernel Hilbert -module (shortly, ) without using the condition of self-duality and discuss some related aspects; in par…