The properties of vector sequence spaces with variable basic sequences of subspaces, including completeness, conjugate space, sequential convergence, compactness,separability, reflexivity, weak sequential completeness and Schauder bases, etc.
本文研究基子空间序列可变的矢值序列空间的特性,其中包括完备性、共轭空间、序列收敛性、紧性、可分性、自反性、弱序列完备性和绍德尔基等性质。
To begin with,we define two conceptions,completely weakly modular and chain separable.
定义了完备弱模和链可分的概念,并且证明如下结果:(1)设L是完备格且conc(L)=concd(L),则conc(L)是Boole格当且仅当L是完备弱模的,并且θ∈conc(L),θ是链可分的。
CopyRight © 2020-2024 优校网[www.youxiaow.com]版权所有 All Rights Reserved. ICP备案号:浙ICP备2024058711号