On a class of homeomorphisms of function spaces preserving the Lindelof number of domains

被引：0

作者：

Lazarev, Vadim R. ^{[1
]}

机构：

[1] Tomsk State Univ, Dept Math Anal & Theory Funct, Fac Mech & Math, Tomsk, Russia

来源：

VESTNIK TOMSKOGO GOSUDARSTVENNOGO UNIVERSITETA-MATEMATIKA I MEKHANIKA-TOMSK STATE UNIVERSITY JOURNAL OF MATHEMATICS AND MECHANICS | 2023年 / 86期

关键词：

Lindelof number; function space; pointwise convergence topology; finite support property;

D O I：

10.17223/19988621/86/12

中图分类号：

O3 [力学];

学科分类号：

08 ; 0801 ;

摘要：

We consider the class of all homeomorphisms between the function spaces of the form C-p(X), C-p(Y) such that the images of Y and X under their dual and, respectively, inverse dual mappings consist of finitely supported functionals. We prove that if a homeomorphism belongs to this class, then Lindelof numbers l(X) and l(Y) are equal. This result generalizes the known theorem of A. Bouziad for linear homeomorphisms of function spaces.

引用

页码：159 / 166

页数：8

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