论文标题
Lebesgue的代数和KB的常规运营商Banach Lattices
Algebras of Lebesgue and KB regular operators in Banach lattices
论文作者
论文摘要
结果表明，定期的Lebesgue和Banach Lattice e Form Operator代数的（Quasi）KB操作员（Quasi）运算符，以及Dedekind完整E，甚至Banach Lattice代数。我们还证明，具有阶连续规范的Banach晶格E是KB空间，如果E中的每个正紧凑型操作员都是KB操作员。
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.
