Scholarlink

<p>We study norm completeness and the domination problem for KB operators, and show that compact KB operators are not necessarily stable under rank one perturbations. It is proved that an order continuous Banach lattice is a KB-space if and only if every positive compact operator on it is KB. Conditions on quasi-KB operators to be KB are given.</p>

错误：搜索内容不能为空，请输入英文关键词
错误：关键词超出字数限制，请精简
高级检索

On compact KB operators in Banach lattices

  • 期刊论文

  • 发表日期：

    2025年1月11日

查看全文
  • Eduard Emelyanov

摘要

We study norm completeness and the domination problem for KB operators, and show that compact KB operators are not necessarily stable under rank one perturbations. It is proved that an order continuous Banach lattice is a KB-space if and only if every positive compact operator on it is KB. Conditions on quasi-KB operators to be KB are given.