D. Fufaev

collaborators

2 papers

math.OA2026

Banach-compact operators, $A$ -precompactness, and frames in Hilbert $C^{*}$ -modules

Denis Fufaev, Evgenij Troitsky

For a couple $M$ , $N$ of Hilbert $C^{*}$ -modules over a $C^{*}$ -algebra $A$ , one has two notions of `` $A$ -rank 1 operators'': $Î¸_{x,y}:\mathcal M\t…

math.OA2025

Locally unital $C^{*}$ -algebras do not admit frames

Denis Fufaev

We study nonunital $C^{*}$ -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…

Banach-compact operators, A-precompactness, and frames in Hilbert C∗-modules

Locally unital C∗-algebras do not admit frames

Banach-compact operators, $A$ -precompactness, and frames in Hilbert $C^{*}$ -modules

Locally unital $C^{*}$ -algebras do not admit frames