On linear homeomorphisms of spaces of continuous functions on Hattori spaces

被引：0

作者：

Khmyleva, T. ^{[1
]}

Sukhacheva, E. ^{[1
,2
]}

机构：

[1] Tomsk State Univ, Fac Mech & Math, 36 Lenina Ave, Tomsk 634050, Russia

[2] Tomsk State Univ Control Syst & Radioelect, Fac Secur, 40 Lenina Ave, Tomsk 634050, Russia

来源：

TOPOLOGY AND ITS APPLICATIONS | 2020年 / 281卷

关键词：

Sorgenfrey line; Point of condensation; Baire space; Linear homeomorphism; Space of continuous functions endowed with the topology of pointwise convergence; TOPOLOGIES; SORGENFREY;

D O I：

10.1016/j.topol.2020.107209

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

For a subset A of the real line R, the Hattori space H(A) is a topological space whose underlying point set is the real R and whose topology is defined as follows: points from A possess the usual Euclidean neighbourhoods while remaining points are given the neighbourhoods of the Sorgenfrey line. We consider the linear homeomorphisms between the spaces C-p(H(A)), C-p(H(B)) and C-p(S), where H(A) and H(B) are Hattori spaces and S is Sorgenfrey line. (C) 2020 Elsevier B.V. All rights reserved.

引用

页数：8

共 50 条

[31] On the Functions on Linear Spaces
N. D. Podufalov
[J]. Acta Applicandae Mathematica, 2005, 85 : 233 - 249
[32] On the functions on linear spaces
Podufalov, ND
[J]. ACTA APPLICANDAE MATHEMATICAE, 2005, 85 (1-3) : 233 - 249
[33] ON TOPOLOGICAL AND LINEAR HOMEOMORPHISMS OF CERTAIN FUNCTION-SPACES
BAARS, J
DEGROOT, J
VANMILL, J
PELANT, J
[J]. TOPOLOGY AND ITS APPLICATIONS, 1989, 32 (03) : 267 - 277
[34] Linear homeomorphisms of non-classical Hilbert spaces
Schikhof, WH
Ochsenius, H
[J]. INDAGATIONES MATHEMATICAE-NEW SERIES, 1999, 10 (04): : 601 - 613
[35] ON A LINEAR HOMEOMORPHISM OF SPACES OF CONTINUOUS FUNCTIONS ON SUBSETS OF THE SORGENFREY LINE
Trofimenko, Nadezhda Nikolaevna
Khmyleva, Tatiana Evgenievna
[J]. VESTNIK TOMSKOGO GOSUDARSTVENNOGO UNIVERSITETA-MATEMATIKA I MEKHANIKA-TOMSK STATE UNIVERSITY JOURNAL OF MATHEMATICS AND MECHANICS, 2012, (18): : 29 - 32
[36] EMBEDDING DTAU IN DUGUNDJI SPACES, WITH AN APPLICATION TO LINEAR TOPOLOGICAL CLASSIFICATION OF SPACES OF CONTINUOUS-FUNCTIONS
HAYDON, R
[J]. STUDIA MATHEMATICA, 1976, 56 (03) : 229 - 242
[37] Linear or bilinear mappings between spaces of continuous or Lipschitz functions
Rambla-Barreno, Fernando
[J]. PROCEEDINGS OF THE FOURTH INTERNATIONAL SCHOOL - ADVANCED COURSES OF MATHEMATICAL ANALYSIS IV, 2012, : 216 - 225
[38] ON CONTINUOUS LINEAR FUNCTIONALS IN SOME SPACES OF FUNCTIONS ANALYTIC IN DISK
Rodikova, E. G.
[J]. UFA MATHEMATICAL JOURNAL, 2023, 15 (02): : 65 - 73
[39] Linear homeomorphic classification of spaces of continuous functions defined on SA
Khmyleva, T.
Sukhacheva, E.
[J]. TOPOLOGY AND ITS APPLICATIONS, 2020, 275
[40] Linear continuous functionals and representation of functions by series in the spaces Eφ
Filippov V.I.
[J]. Analysis Mathematica, 2001, 27 (4) : 239 - 260

← 1 2 3 4 5 →