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arXiv · 2203.08326

Algebras of Lebesgue and KB regular operators in Banach lattices

Eduard Emelyanov
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Abstract

It is shown that the regularly Lebesgue and regularly (quasi) KB operators in a Banach lattice E form operator algebras and, for Dedekind complete E, even Banach lattice algebras. We also prove that a Banach lattice E with order continuous norm is a KB-space iff each positive compact operator in E is a KB operator.

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Eduard Emelyanov. 2022-03-16. Algebras of Lebesgue and KB regular operators in Banach lattices. https://arxiv.org/abs/2203.08326

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