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| Format: | Preprint |
| Veröffentlicht: |
2016
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| Schlagworte: | |
| Online-Zugang: | https://arxiv.org/abs/1603.08979 |
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| _version_ | 1866909751695114240 |
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| author | Daher, Mohammad |
| author_facet | Daher, Mohammad |
| contents | Let $(Ω_1, \mathcal{F}_1, μ_1)$, $(Ω_2, \mathcal{F}_2, μ_2)$ be two probabilty spaces, $1\leq p\leq +\infty$ and $X$ a Banach space. In this work we show that $L^p(μ_1, X)$, $VB^p (μ_1,X),$ $cabv(μ_{1},X)$ are isomorphic to $L^p(μ_2, X),$ $VB^p(μ_2, X)$, $cabc(μ_2, X)$ respectively, if $L^1(μ_1)$ is strongly isomorphic to $L^1(μ_2)$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_1603_08979 |
| institution | arXiv |
| publishDate | 2016 |
| record_format | arxiv |
| spellingShingle | Isomorphismes entre des espaces de mesures à valeurs vectorielles Daher, Mohammad Functional Analysis 46G10 Let $(Ω_1, \mathcal{F}_1, μ_1)$, $(Ω_2, \mathcal{F}_2, μ_2)$ be two probabilty spaces, $1\leq p\leq +\infty$ and $X$ a Banach space. In this work we show that $L^p(μ_1, X)$, $VB^p (μ_1,X),$ $cabv(μ_{1},X)$ are isomorphic to $L^p(μ_2, X),$ $VB^p(μ_2, X)$, $cabc(μ_2, X)$ respectively, if $L^1(μ_1)$ is strongly isomorphic to $L^1(μ_2)$. |
| title | Isomorphismes entre des espaces de mesures à valeurs vectorielles |
| topic | Functional Analysis 46G10 |
| url | https://arxiv.org/abs/1603.08979 |