17 citations · 39 across the 19 of their papers we have counts for
29 papers
Metrizable and Fréchet--Urysohn subgroups and linear subspaces of topological vector spaces
Arkady Leiderman, Evgenii Reznichenko, Ol'ga Sipacheva
For a normed space , we denote by and the space and its dual endowed with the weak topology and the weak topology , respectively. It is we…
-Fréchet--Urysohn and Baire subgroups of free topological groups
Arkady Leiderman, Evgenii Reznichenko, Ol'ga Sipacheva
A topological space is -Fréchet--Urysohn if every point in the closure of an open set is the limit of a sequence of points of . We prove that every -Fr…
On densely defined linear continuous operators between function spaces
Arkady Leiderman, Vesko Valov
For any Tychonoff space , let denote either the space of all continuous real-valued functions on or the space of all bounded continuous real-valued fu…
A survey on the Asplund property for spaces of continuous functions
Marian Fabian, Jerzy Kakol, Arkady Leiderman
The Asplund property plays an important role in Banach space theory due to its connections with differentiability properties of continuous convex functions, optimization problems,…
Asplund spaces beyond Banach spaces
Marian Fabian, Jerzy Kcakol, Arkady Leiderman
This paper addresses the Asplund property for the space of continuous functions equipped with the compact-open topology, when is an arbitrary Tychonoff space. Motivate…
Asplund spaces and the finest locally convex topology
J. Kakol, A. Leiderman
In our previous paper we systematized several known equivalent definitions of Fréchet (G\^ ateaux) Differentiability Spaces and Asplund (weak Asplund) Spaces. As an application, we…