Automorphisms in spaces of continuous functions on Valdivia compacta

被引：4

作者：

Aviles, Antonio ^{[1
]}

Moreno, Yolanda ^{[2
]}

机构：

[1] Univ Paris 07, Equipe Log Math, UFR Math, F-75251 Paris, France

[2] Univ Extremadura, Escuela Politecn, Dept Matemat, Caceres 10071, Spain

来源：

TOPOLOGY AND ITS APPLICATIONS | 2008年 / 155卷 / 17-18期

关键词：

Automorphism; Automorphic space; Eberlein compact; Valdivia compact; Space of continuous functions;

D O I：

10.1016/j.topol.2007.07.007

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We show that there are no automorphic Banach spaces of the form C(K) with K continuous image of Valdivia compact except the spaces c(0)(Gamma). Nevertheless, when K is an Eberlein compact of finite height such that C(K) is not isomorphic to c(0)(Gamma), all isomorphism between subspaces of C(K) of size less than aleph(omega) extend to automorphisms of C(K). (C) 2008 Elsevier B.V. All rights reserved.

引用

页码：2027 / 2030

页数：4

共 50 条

[21] RESTRICTED DOUBLE AUTOMORPHISMS OF SPACES OF ANALYTIC DIRICHLET FUNCTIONS
KAMTHAN, PK
GAUTAM, SKS
NOTICES OF THE AMERICAN MATHEMATICAL SOCIETY, 1975, 22 (03): : A383 - A383
[22] Polynomial automorphisms and hypercyclic operators on spaces of analytic functions
Zoryana Novosad
Andriy Zagorodnyuk
Archiv der Mathematik, 2007, 89 : 157 - 166
[23] Metrizable compacta in the space of continuous functions with the topology of pointwise convergence
V. V. Mykhaylyuk
Acta Mathematica Hungarica, 2007, 117 : 315 - 323
[24] Compacta and their function spaces
Hart, Joan E.
Kunen, Kenneth
TOPOLOGY AND ITS APPLICATIONS, 2015, 195 : 119 - 142
[25] Extensions by spaces of continuous functions
Castillo, Jesus M. F.
Moreno, Yolanda
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2008, 136 (07) : 2417 - 2423
[26] Sequence spaces of continuous functions
Sidney, SJ
Hwang, SW
ROCKY MOUNTAIN JOURNAL OF MATHEMATICS, 2001, 31 (02) : 641 - 659
[27] SPACES OF CONTINUOUS EXTENDED FUNCTIONS
VEKSLER, AI
ZAKHAROV, VK
KOLDUNOV, AV
DOKLADY AKADEMII NAUK SSSR, 1981, 256 (06): : 1301 - 1305
[28] Distance to spaces of continuous functions
Cascales, B.
Marciszewski, W.
Raja, M.
TOPOLOGY AND ITS APPLICATIONS, 2006, 153 (13) : 2303 - 2319
[29] FUNCTIONALS ON SPACES OF CONTINUOUS FUNCTIONS
BIRKHOFF, G
BULLETIN OF THE AMERICAN MATHEMATICAL SOCIETY, 1949, 55 (01) : 41 - 42
[30] BANACH SPACES OF CONTINUOUS FUNCTIONS
MYERS, SB
BULLETIN OF THE AMERICAN MATHEMATICAL SOCIETY, 1946, 52 (11) : 1018 - 1018

← 1 2 3 4 5 →