Petr Hájek

most citedWeak

^{*}

dentability index of spaces

C ([0, α])

8 citations · 12 across the 2 of their papers we have counts for

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3 papers · 1 filter

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…

math.FA2006★ 6 cited

Smooth norms and approximation in Banach spaces of the type C(K)

Petr Hajek, Richard Haydon

We prove two theorems about differentiable functions on the Banach space C(K), where K is compact. (i) If C(K) admits a non-trivial function of class C^m and of bounded support, th…

Ck-smooth approximations of LUR norms

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

Smooth norms and approximation in Banach spaces of the type C(K)

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

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