T. Kochanek

activity

20122019

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4 papers · 1 filter

math.FA2016

The Szlenk power type and tensor products of Banach spaces

Szymon Draga, Tomasz Kochanek

We prove a formula for the Szlenk power type of the injective tensor product of Banach spaces with Szlenk index at most $ω$ . We also show that the Szlenk power type as well as summ…

math.FA2012

Characterisation of $L_{p}$ -norms via Hölder's inequality

Tomasz Kochanek, Michał Lewicki

We characterise $L_{p}$ -norms on the space of integrable step functions, defined on a probabilistic space, via Hölder's type inequality with an optimality condition.

math.FA2012

Stability of vector measures and twisted sums of Banach spaces

Tomasz Kochanek

A Banach space $X$ is said to have the $SVM$ (stability of vector measures) property if there exists a constant $v < \infty$ such that for any algebra of sets $F$ ,…

math.FA2012

$F$ -bases with brackets and with individual brackets in Banach spaces

Tomasz Kochanek

We provide a partial answer to the question of Vladimir Kadets whether given an $F$ -basis of a Banach space $X$ , with respect to some filter $\mathcal F\subset \mathcal P(…

The Szlenk power type and tensor products of Banach spaces

Characterisation of Lp​-norms via Hölder's inequality

Stability of vector measures and twisted sums of Banach spaces

F-bases with brackets and with individual brackets in Banach spaces

Characterisation of $L_{p}$ -norms via Hölder's inequality

$F$ -bases with brackets and with individual brackets in Banach spaces