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(OP)型空间与谱算子
引用本文:周光实.(OP)型空间与谱算子[J].河北大学学报(自然科学版),1992(4).
作者姓名:周光实
作者单位:保定师专
摘    要:(OP)型空间的概念是江泽坚、邹承祖在1]中提出的,这种空间保证了级数的弱无条件收敛与无条件收敛的等价性,是使谱算子许多性质成立的最佳空间。本文要讨论(OP)型空间的一些性质及谱算子与(OP)型空间的关系。

关 键 词:(OP)型空间  谱算子  准谱算子

(OP) -type Spaces and Spectral Operators
Zhou Guangshi.(OP) -type Spaces and Spectral Operators[J].Journal of Hebei University (Natural Science Edition),1992(4).
Authors:Zhou Guangshi
Institution:Baoding Normal College
Abstract:The concept of the (OP)- type space is introduced by Prof. Jiang Zejian and Zou Chengzu.The (OP)-type space assures the equivalence of unconditional convergence of seris and weak unconditional convergence of seris, and is the best space that makes manifold spectral operator properties tenable. In this paper some properties of (OP)- type spaces and the relations between (OP)-type spaces and spectral operators are discussed, and Lemma III, Theorem I and Theorem II follow therefrom.
Keywords:(OP)-type space  Spectral operator  Prespectal operator
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