2-无条件序列空间和对称序列空间的罗顿规范

IF 1.1 2区数学 Q1 MATHEMATICS

Banach Journal of Mathematical Analysis Pub Date : 2024-09-14 DOI:10.1007/s43037-024-00379-1

Stephen Dilworth, Denka Kutzarova, Pavlos Motakis

引用次数: 0

摘要

具有无条件基的反身巴拿赫空间接受等价的 1-unconditional 2R 规范，并嵌入具有 1 对称 2R 规范的反身空间。本文获得了关于具有对称基的空间的 1 对称 2R 重规范的部分结果。

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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2-Rotund norms for unconditional and symmetric sequence spaces

A reflexive Banach space with an unconditional basis admits an equivalent 1-unconditional 2R norm and embeds into a reflexive space with a 1-symmetric 2R norm. Partial results on 1-symmetric 2R renormings of spaces with a symmetric basis are obtained.

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来源期刊

Banach Journal of Mathematical Analysis 数学-数学

CiteScore

2.00

自引率

8.30%

发文量

审稿时长

>12 weeks

期刊介绍： The Banach Journal of Mathematical Analysis (Banach J. Math. Anal.) is published by Birkhäuser on behalf of the Tusi Mathematical Research Group. Banach J. Math. Anal. is a peer-reviewed electronic journal publishing papers of high standards with deep results, new ideas, profound impact, and significant implications in all areas of functional analysis and operator theory and all modern related topics. Banach J. Math. Anal. normally publishes survey articles and original research papers numbering 15 pages or more in the journal’s style. Shorter papers may be submitted to the Annals of Functional Analysis or Advances in Operator Theory.