18 citations · 31 across the 21 of their papers we have counts for
6 papers · 1 filter
Topology of probability measure spaces, II
Taras Banakh
This paper is a follow-up to the author's work "Topology of probability measure space, I" devoted to investigation of the functors and of spaces of probability -s…
On Local Convexity Of Nonlinear Mappings Between Banach Spaces
Iryna Banakh, Taras Banakh, Anatolij Plichko +1
We find conditions for a smooth nonlinear map between open subsets of Hilbert or Banach spaces to be locally convex in the sense that for some and each posit…
Compactly convex sets in linear topological spaces
T. Banakh, M. Mitrofanov, O. Ravsky
A convex subset X of a linear topological space is called compactly convex if there is a continuous compact-valued map such that for all…
On closed embeddings of free topological algebras
T. Banakh, O. Hryniv
Let be a complete quasivariety of completely regular universal topological algebras of continuous signature (which means that is closed under…
Some Open Problems in Topological Algebra
Taras Banakh, Mitrofan Choban, Igor Guran +1
This is the list of open problems in topological algebra posed on the conference dedicated to the 20th anniversary of the Chair of Algebra and Topology of Lviv National University,…
On linear operators extending [pseudo]metrics
Taras Banakh, Czeslaw Bessaga
For every closed subset of a stratifiable [resp. metrizable] space we construct a positive linear extension operator preserving constant…