A NOTE ON SUBSYMMETRIC RENORMINGS OF BANACH SPACES

被引:9
作者
Ansorena, J. L. [1 ]
机构
[1] Univ La Rioja, Dept Math & Comp Sci, Edificio Cient Tecn,Calle Madre Dios 53, Logrono 26006, Spain
关键词
Symmetric bases; subsymmetric bases; renorming; sequence spaces;
D O I
10.2989/16073606.2017.1393704
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
We revisit the concept of a subsymmetric norm and construct a subsymmetric renorming of a Banach space with a subsymmetric basis. As a by-product of our work we introduce the concept of a lower symmetric basis and investigate its connection with subsymmetric bases and subsymmetric renormings.
引用
收藏
页码:615 / 628
页数:14
相关论文
共 9 条
[1]   Banach spaces with a unique greedy basis [J].
Albiac, F. ;
Ansorena, J. L. ;
Dilworth, S. J. ;
Kutzarova, Denka .
JOURNAL OF APPROXIMATION THEORY, 2016, 210 :80-102
[2]  
[Anonymous], 1961, REV MATH PURES APPL
[3]  
[Anonymous], 1970, GRUNDLEHREN MATH WIS
[4]  
[Anonymous], 1950, Modulared Semi-Ordered Linear Spaces
[5]   SYMMETRIC BASES OF LOCALLY CONVEX SPACES [J].
GARLING, DJH .
STUDIA MATHEMATICA, 1968, 30 (02) :163-&
[6]  
Kadec M. I., 1962, Studia Math., V21, P161
[7]  
Lindenstrauss J, 1977, ERGEBNISSE MATH IHRE, V92
[8]  
SIMONS S, 1965, P LOND MATH SOC, V15, P422
[9]  
Singer Ivan, 1962, B ACAD POLON SCI SER, V10, P185