Few operators on Banach spaces C0(L × L)

IF 0.5 4区数学 Q3 MATHEMATICS

Topology and its Applications Pub Date : 2025-09-09 DOI:10.1016/j.topol.2025.109577

Leandro Candido

引用次数: 0

Abstract

Using Ostaszewski's ♣-principle, we construct a non-metrizable, locally compact, scattered space L in which the operators on the Banach space

C_{0} (L \times L)

exhibit a remarkably simple structure. We provide a detailed analysis and, through a series of decomposition steps, offer an explicit characterization of all operators on

C_{0} (L \times L)

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Banach空间C0（L × L）上的少量算子

利用Ostaszewski的' i -principle，我们构造了一个不可度量的，局部紧致的，分散的空间L，其中Banach空间C0（L×L）上的算子具有非常简单的结构。我们提供了详细的分析，并通过一系列分解步骤，提供了C0上所有算子的明确表征（L×L）。

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

Topology and its Applications 数学-数学

CiteScore

1.20

自引率

33.30%

发文量

251

审稿时长

6 months

期刊介绍： Topology and its Applications is primarily concerned with publishing original research papers of moderate length. However, a limited number of carefully selected survey or expository papers are also included. The mathematical focus of the journal is that suggested by the title: Research in Topology. It is felt that it is inadvisable to attempt a definitive description of topology as understood for this journal. Certainly the subject includes the algebraic, general, geometric, and set-theoretic facets of topology as well as areas of interactions between topology and other mathematical disciplines, e.g. topological algebra, topological dynamics, functional analysis, category theory. Since the roles of various aspects of topology continue to change, the non-specific delineation of topics serves to reflect the current state of research in topology. At regular intervals, the journal publishes a section entitled Open Problems in Topology, edited by J. van Mill and G.M. Reed. This is a status report on the 1100 problems listed in the book of the same name published by North-Holland in 1990, edited by van Mill and Reed.

Few operators on Banach spaces C0(L × L)

Abstract

Few operators on Banach spaces C0(L × L)