33 citations · 687 across the 231 of their papers we have counts for
20 papers · 1 filter
Gurarii operators are generic
Taras Banakh, Joanna Garbulińska-Wȩgrzyn
Answering a question of Garbulińska-Wȩgrzyn and Kubiś, we prove that Gurarii operators form a dense -set in the space of all nonexpansive operators on…
The Gelfand-Phillips property for locally convex spaces
Taras Banakh, Saak Gabriyelyan
We extend the well-known Gelfand-Phillips property for Banach spaces to locally convex spaces, defining a locally convex space to be Gelfand-Phillips if every limited set in $E…
Locally convex spaces with the strong Gelfand-Phillips property
Taras Banakh, Saak Gabriyelyan
We introduce the strong Gelfand-Phillips property for locally convex spaces and give several characterizations of this property. We characterize the strong Gelfand-Phillips propert…
Banach actions preserving unconditional convergence
Taras Banakh, Vladimir Kadets
Let be Banach spaces and , , be a continuous bilinear function, called a *Banach action*. We say that this action *preserves unconditional…
Banach spaces with the (strong) Gelfand--Phillips property
Taras Banakh, Saak Gabriyelyan
Several new characterizations of the Gelfand-Phillips property are given. We define a strong version of the Gelfand-Phillips property and prove that a Banach space has this stronge…
Semitopological modules
Taras Banakh, Alex Ravsky
Given a topological ring , we study semitopological -modules, construct their completions, Bohr and borno modifications. For every topological space , we construct the fre…