Hopfians空间的刻画

Pub Date : 2023-01-01 DOI:10.7153/oam-2023-17-02

H. Boua, A. Tajmouati

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引用次数: 0

摘要

．如果任何有界线性算子满射是双射，则称巴拿赫空间X为Hop fi an。Banach Hop fi - ans空间的存在性是由Gowers和Maury在1993年建立的。本文利用有界线性算子B (X)的代数性质，得到了Banach空间Hop - fi的一些刻画。数学学科分类(2020):47A10、47A11。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Characterizations of Hopfians spaces

. A Banach space X is called Hop ﬁ an, if any bounded linear operator surjective is bijective. The existence of the Banach Hop ﬁ ans spaces in in ﬁ nite dimension was established by Gowers and Maury in 1993. In this note we obtain some characterizations of Banach spaces Hop ﬁ ans by properties of the algebra of bounded linear operators B ( X ) . Mathematics subject classi ﬁ cation (2020): 47A10, 47A11.

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