P. Hájek

activity

20062020

most citedFuzzy Logic and Probability

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

collaborators

Showing math.FAShow all

9 papers · 1 filter

math.FA2017

Generalization of a theorem of Zippin

Petr Hajek, Thomas Schlumprecht, Andras Zsak

We generalize and prove a result which was first shown by Zippin, and was explicitly formulated by Benyamini.

math.FA2017

Strongly extreme points and approximation properties

Trond A. Abrahamsen, Petr Hájek, Olav Nygaard +1

We show that if $x$ is a strongly extreme point of a bounded closed convex subset of a Banach space and the identity has a geometrically and topologically good enough local approxi…

math.FA2017

Coarse embeddings into $c_{0} (Γ)$

Petr Hajek, Thomas Schlumprecht

Let $λ$ be a large enough cardinal number (assuming GCH it suffices to let $λ = ℵ_{ω}$ ). If $X$ is a Banach space with $dens (X) \geq λ$ , which admits a coarse (or uniform) emb…

math.FA2013

The Szlenk Index of L_p(X)

Petr Hajek, Thomas Schlumprecht

We find an optimal upper bound on the values of the weak $^{*}$ -dentability index $D z (X)$ in terms of the Szlenk index $S z (X)$ of a Banach space $X$ with separable dual. Namely, if $\…

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…

Generalization of a theorem of Zippin

Strongly extreme points and approximation properties

Coarse embeddings into c0​(Γ)

The Szlenk Index of L_p(X)

Operator machines on directed graphs

Ck-smooth approximations of LUR norms

Coarse embeddings into $c_{0} (Γ)$

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