33 citations · 687 across the 231 of their papers we have counts for
14 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…
Categorically closed countable semigroups
Taras Banakh, Serhii Bardyla
In this paper we establish a connection between categorical closedness and topologizability of semigroups. In particular, for a class of topologica…
A simple Efimov space with sequentially-nice space of probability measures
Taras Banakh, Saak Gabriyelyan
Under Jensen's diamond principle , we construct a simple Efimov space whose space of nonatomic probability measures is first-countable and sequentiall…