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Hilbert空间上的紧K-算子值框架

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基于K-框架和算子值框架的定义,在Hilbert空间中引入紧K-算子值框架的概念,给出两个紧K-算子值框架之间相似、不相交、强不相交的定义,并讨论了它们的性质.研究结果进一步将算子值框架不相交性和强不相交性的结果推广到紧K-算子值框架上.
Tight K-operator valued framework in Hilbert
Based on the definitions of K-frame and operator-valued frame,the concept of tight K-operator-valued frame is introduced into Hilbert space.The definitions of similar,disjoint,and strongly disjoint between two tight K-operator-valued frames are given,and their properties are discussed.The results further extend the results of disjoint and strong disjoint properties of operator valued frames to compact K-operator valued frames.

tight K-operator valued frameworksimilardisjointstrong disjoint

吴旭、张建平、曹壮利

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延安大学 数学与计算机科学学院,陕西 延安 716000

紧K-算子值框架 相似 不相交 强不相交

2024

延安大学学报(自然科学版)
延安大学

延安大学学报(自然科学版)

影响因子:0.238
ISSN:1004-602X
年,卷(期):2024.43(4)