Minimal and maximal $p$-operator space structures

Serap Oztop; Nico Spronk

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arXiv · 1112.4884

Minimal and maximal $p$-operator space structures

Serap Oztop·Nico Spronk

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Abstract

We show that $L^\infty(μ)$, in its capacity as multiplication operators on $L^p(μ)$, is minimal as a $p$-operator space for a decomposable measure $μ$. We conclude that $L^1(μ)$ has a certain maximal type $p$-operator space structure which facilitates computations with $L^1(μ)$ and the projective tensor product.

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BibTeX RIS

Serap Oztop, Nico Spronk. 2012-07-11. Minimal and maximal $p$-operator space structures. https://arxiv.org/abs/1112.4884

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