Extremes of interpolation scales of Banach spaces

IF 1.7 2区数学 Q1 MATHEMATICS

Journal of Functional Analysis Pub Date : 2025-03-05 DOI:10.1016/j.jfa.2025.110924

Willian Corrêa , Valentin Ferenczi , Rafaela Gesing , Pedro Tradacete

引用次数: 0

Abstract

M. Daher gave conditions so that the spheres of the spaces in the interior of a complex interpolation scale are uniformly homeomorphic. We look for sufficient conditions for the validity of this result and related ones on the extremes of the scale, with applications to uniform homeomorphism between spheres of Banach spaces and the sphere of the Hilbert space.

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Banach空间插值尺度的极值

M. Daher给出了复插值尺度内空间球一致同胚的条件。我们利用Banach空间的球与Hilbert空间的球之间的一致同纯，在尺度的极值上寻找该结果和相关结果的有效性的充分条件。

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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来源期刊

Journal of Functional Analysis 数学-数学

CiteScore

3.20

自引率

5.90%

发文量

271

审稿时长

7.5 months

期刊介绍： The Journal of Functional Analysis presents original research papers in all scientific disciplines in which modern functional analysis plays a basic role. Articles by scientists in a variety of interdisciplinary areas are published. Research Areas Include: • Significant applications of functional analysis, including those to other areas of mathematics • New developments in functional analysis • Contributions to important problems in and challenges to functional analysis