Complete Continuity for a Class of Banach Algebras

被引：0

作者：

G. S. Mustafaev

机构：

[1] Institute of Mathematics and Mechanics of Azerbaijan Academy of Sciences,

来源：

Journal of Mathematical Sciences | 2004年 / 120卷 / 5期

关键词：

Multiplication Operator; Group Algebra; Complete Continuity;

D O I：

10.1023/B:JOTH.0000018871.65282.8a

中图分类号：

学科分类号：

摘要：

For quotiens of group algebras, we stady elements such that the multiplication by these elements generates a compact (left or right) multiplication operator. The spectrum of such an algebra is analyzed in the case where all such (left or right) multiplication operators are weakly compact. Bibliography: 33 titles.

引用

页码：1723 / 1732

页数：9

共 50 条

[1] CONTINUITY OF HOMOMORPHISMS OF COMPLETE AND METRIZABLE ALGEBRA ON CERTAIN BANACH ALGEBRAS
ESTERLE, J
MATHEMATICA SCANDINAVICA, 1976, 39 (01) : 83 - 90
[2] UNIQUENESS OF COMPLETE NORM TOPOLOGY AND CONTINUITY OF DERIVATIONS ON BANACH ALGEBRAS
LOY, RJ
CANADIAN MATHEMATICAL BULLETIN, 1969, 12 (05): : 687 - &
[3] CONTINUITY OF CENTRALISERS ON BANACH ALGEBRAS
JOHNSON, BE
JOURNAL OF THE LONDON MATHEMATICAL SOCIETY, 1966, 41 (164P): : 639 - &
[4] CONTINUITY OF INVOLUTION ON BANACH ]-ALGEBRAS
DUNCAN, J
JOURNAL OF THE LONDON MATHEMATICAL SOCIETY, 1966, 41 (164P): : 701 - &
[5] The Continuity of Epimorphisms of Banach Algebras
杨兵
数学进展, 1998, (03)
[6] CONTINUITY AND UNIFORM CONTINUITY OF SPECTRUM IN BANACH ALGEBRAS
AUPETIT, B
STUDIA MATHEMATICA, 1977, 61 (02) : 99 - 114
[7] On the continuity of the spectrum in certain Banach algebras
Israel Feldman
Naum Krupnik
Integral Equations and Operator Theory, 2000, 38 : 284 - 301
[8] CONTINUITY FOR LINEAR MAPS ON BANACH ALGEBRAS
YOOD, B
STUDIA MATHEMATICA, 1968, 31 (03) : 263 - &
[9] Continuity of Lie derivations on Banach algebras
Berenguer, MI
Villena, AR
PROCEEDINGS OF THE EDINBURGH MATHEMATICAL SOCIETY, 1998, 41 : 625 - 630
[10] Continuity of Lie isomorpmisms of Banach algebras
Berenguer, MI
Villena, AR
BULLETIN OF THE LONDON MATHEMATICAL SOCIETY, 1999, 31 : 6 - 10

← 1 2 3 4 5 →