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arXiv · 1603.08979

Isomorphismes entre des espaces de mesures \`a valeurs vectorielles

Mohammad Daher
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Abstract

Let $(\Omega_1, \mathcal{F}_1, \mu_1)$, $(\Omega_2, \mathcal{F}_2, \mu_2)$ be two probabilty spaces, $1\leq p\leq +\infty$ and $X$ a Banach space. In this work we show that $L^p(\mu_1, X)$, $VB^p (\mu_1,X),$ $cabv(\mu_{1},X)$ are isomorphic to $L^p(\mu_2, X),$ $VB^p(\mu_2, X)$, $cabc(\mu_2, X)$ respectively, if $L^1(\mu_1)$ is strongly isomorphic to $L^1(\mu_2)$.

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Mohammad Daher. 2016-03-29. Isomorphismes entre des espaces de mesures \`a valeurs vectorielles. https://arxiv.org/abs/1603.08979

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