Segal extensions and Segal algebras in uniform Banach algebras

被引：0

作者：

Bhatt, Subhash J. ^{[1
]}

Dabhi, Prakash A. ^{[1
,2
]}

机构：

[1] Sardar Patel Univ, Dept Math, Vallabh Vidyanagar 388120, Gujarat, India

[2] Inst Infrastruct Technol Res & Management Ahmedab, Dept Basic Sci, Ahmadabad 380026, Gujarat, India

来源：

INDIAN JOURNAL OF PURE & APPLIED MATHEMATICS | 2021年 / 52卷 / 01期

关键词：

Banach algebra; Uniform Banach algebra; Segal algebra; Banach *- algebra; C* - algebra; C*-Segal algebra; IDEALS;

D O I：

10.1007/s13226-021-00063-2

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Segal extensions, not necessarily injective, of a Banach algebra into a Banach algebra are discussed resulting into answering when do the Gelfand map of a commutative Banach algebra as well as Gelfand-Naimark construction on a, not necessarily commutative, Banach *-algebra give Segal extensions. Analogous to C*-Segal algebras arising from Segal extension into C*- algebras, uB-Segal algebras arising from Segal extensions into uniform Banach algebras are intrinsically characterized.

引用

页码：162 / 167

页数：6

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