S. Troyanski

activity

20082023

most citedStrictly convex norms and topology

18 citations · 58 across the 15 of their papers we have counts for

collaborators

Showing 2018Show all

4 papers · 1 filter

math.FA2018

Locally uniformly rotund renormings of the spaces of continuous functions on Fedorchuk compacts

S. P. Gul'ko, A. V. Ivanov, M. S. Shulikina +1

We show that $C (X)$ admits an equivalent pointwise lower semicontinuous locally uniformly rotund norm provided $X$ is Fedorchuk compact of spectral height 3. In other words $X$ adm…

math.FA2018★ 3 cited

Approximation of norms on Banach spaces

Richard J. Smith, Stanimir Troyanski

Relatively recently it was proved that if $Γ$ is an arbitrary set, then any equivalent norm on $c_{0} (Γ)$ can be approximated uniformly on bounded sets by polyhedral norms and $C^\in…

math.FA2018

Norming subspaces of Banach spaces

Vladimir P. Fonf, Sebastian Lajara, Stanimir Troyanski +1

We show that, if $X$ is a closed subspace of a Banach space $E$ and $Z$ is a closed subspace of $E^{*}$ such that $Z$ is norming for $X$ and $X$ is total over $Z$ (as well as $X$ is…

math.FA2018★ 2 cited

Polyhedrality and decomposition

Trond A. Abrahamsen, Vladimir P. Fonf, Richard J. Smith +1

The aim of this note is to present two results that make the task of finding equivalent polyhedral norms on certain Banach spaces, having either a Schauder basis or an uncountable…