迹类和核算子

IF 0.3 Q4 MATHEMATICS
C. Kubrusly
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引用次数: 0

摘要

摘要本文探讨了从一对Banach空间的投影张量积,经过仍在投影张量积领域上的核算子的定义,到Hilbert空间上的迹类算子概念的漫长历程,并展示了这些概念(即核算子和迹类算子)最终是如何和为什么一致的。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Trace-Class and Nuclear Operators
Abstract This paper explores the long journey from projective tensor products of a pair of Banach spaces, passing through the definition of nuclear operators still on the realm of projective tensor products, to the of notion of trace-class operators on a Hilbert space, and shows how and why these concepts (nuclear and trace-class operators, that is) agree in the end.
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来源期刊
Concrete Operators
Concrete Operators MATHEMATICS-
CiteScore
1.00
自引率
16.70%
发文量
10
审稿时长
22 weeks
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