A note on the Gelfand-Mazur theorem

被引：4

作者：

Bhatt, SJ ^{[1
]}

Karia, DJ

Kulkarni, SH

Shimpi, ME

机构：

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

[2] Indian Inst Technol, Dept Math, Madras 600036, Tamil Nadu, India

[3] BVM Engn Coll, Dept Math, Vallabh Vidyanagar 388120, Gujarat, India

来源：

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 1998年 / 126卷 / 10期

关键词：

real *-algebra; Pythagorean norm; Gelfand-Mazur theorem; Froelich-Ingelstam-Smiley theorem;

D O I：

10.1090/S0002-9939-98-04658-9

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Three Gelfand-Mazur type theorems are proved. One of these provides a C*-property analogue of Zalar's recent generalizations of the Froelich-Ingelstam-Smiley Theorems concerning unital multiplication in Hilbert spaces; the second illustrates that the assumption in Kaplansky's version of the Gelfand-Mazur Theorem can be weakened in the presence of a C*-norm; whereas the third provides a real analogue of a result due to Srinivasan.

引用

页码：2999 / 3005

页数：7

共 9 条

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