2 citations · 4 across the 5 of their papers we have counts for
7 papers · 1 filter
On linear continuous operators between distinguished spaces
Jerzy Kakol, Arkady Leiderman
As proved in [16], for a Tychonoff space , a locally convex space is distinguished if and only if is a -space. If there exists a linear continuous surjective m…
Is the free locally convex space nuclear?
Arkady Leiderman, Vladimir Uspenskij
Given a class of Banach spaces, a locally convex space (LCS) is called {\em multi-} if can be isomorphically embedded into a product of spaces that…
Basic properties of for which spaces are distinguished
Jerzy Kakol, Arkady Leiderman
In our paper [18] we showed that a Tychonoff space is a -space (in the sense of [20], [30]) if and only if the locally convex space is distinguished. Continuing t…
The Separable Quotient Problem for Topological Groups
Arkady G. Leiderman, Sidney A. Morris, Mikhail G. Tkachenko
The famous Banach-Mazur problem, which asks if every infinite-dimensional Banach space has an infinite-dimensional separable quotient Banach space, has remained unsolved for 85 yea…
-bases in free (locally convex) topological vector spaces
Taras Banakh, Arkady Leiderman
We characterize topological (and uniform) spaces whose free (locally convex) topological vector spaces have a local -base. A topological space has a local $\mathfr…
Lattices of homomorphisms and pro-Lie groups
Arkady G. Leiderman, Mikhail G. Tkachenko
Early this century K. H. Hofmann and S. A. Morris introduced the class of pro-Lie groups which consists of projective limits of finite-dimensional Lie groups and proved that it con…