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arXiv · 1802.04424

L^p operator algebras with approximate identities I

David P. Blecher·N. Christopher Phillips
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Abstract

We initiate an investigation into how much the existing theory of (nonselfadjoint) operator algebras on a Hilbert space generalizes to algebras acting on L^p spaces. In particular we investigate the applicability of the theory of real positivity, which has recently been useful in the study of L^2-operator algebras and Banach algebras, to algebras of bounded operators on Lp spaces.

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BibTeXRIS

David P. Blecher, N. Christopher Phillips. 2018-02-13. L^p operator algebras with approximate identities I. https://doi.org/10.2140/pjm.2019.303.401

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