Banach-Mazur非致密性数

IF 0.8 Q2 MATHEMATICS Advances in Operator Theory Pub Date : 2024-12-09 DOI:10.1007/s43036-024-00408-8

G. García, G. Mora

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引用次数: 0

摘要

本文从非致密度（DND）的概念出发，引入了给定两个Banach - mazur非致密数的概念，并证明了该数是Banach - mazur距离的最优下界。对于给定的无限维巴拿赫空间，我们也引入了一个新的常数。我们证明了这个常数与巴拿赫-马祖尔距离之间的关系。

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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Banach–Mazur nondensifiability number

In the present paper, based on the so called degree of nondensifiability (DND), we introduce the concept of Banach–Mazur nondensifiability number of two given Banach spaces and prove that such a number is an optimal lower bound for the well known Banach–Mazur distance. For a given infinite dimensional Banach space, we also introduce a new constant. We demonstrate a relationship between this constant and the Banach–Mazur distance.

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来源期刊

Advances in Operator Theory MATHEMATICS-

CiteScore

1.60

自引率

0.00%

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