orthonormal system

The necessary and sufficient condition which fundamental and total biorthogonal system in Banach spaces beUnconditional basis;

Banach空间上基本完全的双正交系成为无条件基的充要条件

The necessary and sufficient condition of fundamental and total biorthogonal system in Banach space on Schauder basis;

Banach空间上基本完全的双正交系成为Schauder基的充要条件

The necessary and sufficient condition, which fundamental and total biorthogonal system in Banach spaces is Cesaro basis, is given.

利用BK空间的理论讨论了具有给定的完全双正交系的Banach空间X的乘子空间M(X)的性质,给出了Banach空间X上基本完全的双正交系成为Cesaro基的充要条件。

In this paper, a new Banach space ZH is difined, and it is proved thatthere is completeness of eigenfunotion system (symplectic orthogonal system) ofa class of Hamiltonian system in ZH space, It is also proved that the followingresults: ZH space can be continuoutly imbedded to L2[0, 1] ×L2[0, 1], but ZH ≠L2[ 0, 1 ]× L2[0, 1 ].

本文定义了一个Banach空间ZH，并证明了一类Hamilton体系的本征函数系（辛正交系）在ZH空间中具有完备性。

The calculating of an electric field of the particulate compound medium in the structure of right angle intersection;

正交系结构颗粒复合媒质电场的计算