Matrix multiplication operators on Banach function spaces

被引：20
作者：
Hudzik, H
Kumar, R
Kumar, R
机构：
[1] Adam Mickiewicz Univ Poznan, Fac Math & Comp Sci, PL-61614 Poznan, Poland
[2] Univ Jammu, Dept Math, Jammu 180006, India
来源：
PROCEEDINGS OF THE INDIAN ACADEMY OF SCIENCES-MATHEMATICAL SCIENCES | 2006年 / 116卷 / 01期
关键词：
Banach function spaces; closed operators; compact operators; Fredholm operators; matrix multiplication operators; semigroups;
D O I：
10.1007/BF02829740
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we study the matrix multiplication operators on Banach function spaces and discuss their applications in semigroups for solving the abstract Cauchy problem.
引用
收藏
页码：71 / 81
页数：11
相关论文
共 24 条
[1]   Multiplication and compact-friendly operators [J].
Abramovich, YA ;
Aliprantis, CD ;
Burkinshaw, O .
POSITIVITY, 1997, 1 (02) :171-180
[2]  
[Anonymous], CLASSICAL BANACH
[3]  
[Anonymous], SEMIGROUPS OPERATORS
[4]  
Bennett C., 1988, PURE APPL MATH, V129
[5]  
CONWAY JB, 1974, GRADUATE TEXTS MATH
[6]  
Douglas RG., 1972, Banach algebra techniques in operator theory
[7]  
Engel KJ., 2000, One-Parameter Semigroups for Linear Evolution Equations, GTM 194
[8]  
ENGEL KJ, OPERATOR MATRICES SY
[9]  
Goldstein J.A, 1985, Semigroups of Linear Operators and Applications
[10]  
HOLDERIETH A, 1991, SEMIGROUP FORUM, V142, P155
123