论文标题
在Banach Lattices中定期的P-operators的空间包裹规范
Enveloping norms on the spaces of regularly P-operators in Banach lattices
论文作者
论文摘要
我们介绍并研究了Banach晶格E和F之间定期P仪的包围规范，其中P是从E到F的连续操作员的空间L（E，F）的一个子空间。我们证明，如果P在操作员规范的L（E，F）中，则在操作员规范中闭合P-P-Operators在p-P-Operators norm中构成Banach空间。提供定期在包络规范下形成Banach晶格的条件。
We introduce and study the enveloping norms of regularly P-operators between Banach lattices E and F, where P is a subspace of the space L(E,F) of continuous operators from E to F. We prove that if P is closed in L(E,F) in the operator norm then the regularly P-operators forms a Banach space under the enveloping norm. Conditions providing that regularly P-operators forms a Banach lattice under the enveloping norm are given.
