2018-12-12

Dedekind complete and order continuous Banach $C (K)$ -modules

Arkady KitoverMehmet Orhon

文献摘要

We extend the notions of Dedekind complete and sigma-Dedekind complete Banach lattices to Banach C(K)-modules. As our main result we prove for these modules an analogue of Lozanovsky’s well known characterization of Banach lattices with order continuous norm.

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2018-12-12

Arkady KitoverMehmet Orhon

We extend the notions of Dedekind complete and sigma-Dedekind complete Banach lattices to Banach C(K)-modules. As our main result we prove for these modules an analogue of Lozanovsky’s well known characterization of Banach lattices with order continuous norm.

生成讲解博客的中文版本

生成AI智能校验的中文版本