P. Hájek

activity

20062020

most citedFuzzy Logic and Probability

90 citations · 111 across the 12 of their papers we have counts for

collaborators

Showing 2009Show all

3 papers · 1 filter

math.FA2009★ 3 cited

Operator machines on directed graphs

Petr Hajek, Richard J. Smith

We show that if an infinite-dimensional Banach space X has a symmetric basis then there exists a bounded, linear operator R : X --> X such that the set A = {x in X : ||R^n(x)|| -->…

math.FA2009★ 4 cited

$C^{k}$ -smooth approximations of LUR norms

Petr Hajek, Antonin Prochazka

Let $X$ be a WCG Banach space admitting a $C^{k}$ -Fr\' echet smooth norm. Then $X$ admits an equivalent norm which is simultaneously $C^{1}$ -Fr\' echet smooth, LUR, and a uniform limit…

math.FA2009★ 8 cited

Weak $^{*}$ dentability index of spaces $C ([0, α])$

Petr Hajek, Gilles Lancien, Antonin Prochazka

We compute the weak $^{*}$ -dentability index of the spaces $C (K)$ where $K$ is a countable compact space. Namely $D z (C ([0, ω^{ω^{α}}])) = ω^{1 + α + 1}$ , whenever $0 \leq α < ω_{1}$ . More general…

Operator machines on directed graphs

Ck-smooth approximations of LUR norms

Weak∗ dentability index of spaces C([0,α])

$C^{k}$ -smooth approximations of LUR norms

Weak $^{*}$ dentability index of spaces $C ([0, α])$