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arXiv · 1603.07681

Bands in $L_p$-spaces

Hendrik Vogt·Jürgen Voigt
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Abstract

For a general measure space $(Ω,μ)$, it is shown that for every band $M$ in $L_p(μ)$ there exists a decomposition $μ=μ'+μ^{\prime\prime}$ such that $M=L_p(μ')=\{f\in L_p(μ);f=0\ μ^{\prime\prime}\text{-a.e.}\}$. The theory is illustrated by an example, with an application to absorption semigroups.

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BibTeXRIS

Hendrik Vogt, Jürgen Voigt. 2016-11-02. Bands in $L_p$-spaces. https://doi.org/10.1002/mana.201600145

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