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Revisiting Mazur Separable Quotient Problem (1932).

Mathematical foundations of computing(2023)

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摘要
The centenary of the still open problem of the existence of a separable quotient of infinite dimension in a Banach space X will be in 2032. This note aims to give a quick overview of this problem, which it is known that it has a positive solution for Banach spaces with, rough speaking, "large density character" and also with "small density character". Proofs of several results have been reproduced or simplified to motivate interest in solving this so-called "Mazur separable quotient Problem".
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关键词
Banach space,barrelled space,basic sequence,bounding cardinal,density character,Schauder basis,separable quotient,strongly normal sequence
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