3 papers
math.OA2026
Banach-compact operators, -precompactness, and frames in Hilbert -modules
Denis Fufaev, Evgenij Troitsky
For a couple , of Hilbert -modules over a -algebra , one has two notions of ``-rank 1 operators'': $θ_{x,y}:\mathcal M\to…
math.OA2025
Locally unital -algebras do not admit frames
Denis Fufaev
We study nonunital -algebras such that for any element there exists a local unit and prove that in such algebras there are no frames. This fact was previously known only for c…
math.FA2016
Approximation of linear functionals on the space with convex measure
Denis Fufaev
There are two definitions of the measurable functional on the topological vector space: as a linear and measurable real-valued function and as a pointwise limit of the sequence of…