On a Natural Ordering in Strictly Real Banach Algebras

被引：0

作者：

M. A. Nejjari

机构：

[1] Centre régional des metiers de l’éducation et de la formation (CRMEF),

来源：

Mediterranean Journal of Mathematics | 2016年 / 13卷

关键词：

Primary 46H05; Secondary 46K05; Real algebras; convex cone; positive elements; zero-divisors;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

We show that in a real Banach algebra the connected component of the group of invertible elements containing the unit can not be convex cone except when the algebra is strictly real. We also get that in a strictly real Banach algebra containing no zero divisors any invertible element is either positive or negative.

引用

页码：2753 / 2758

页数：5

共 50 条

[1] On a Natural Ordering in Strictly Real Banach Algebras
Nejjari, M. A.
MEDITERRANEAN JOURNAL OF MATHEMATICS, 2016, 13 (05) : 2753 - 2758
[2] THE NATURAL ORDERING ON A STRICTLY REAL BANACH ALGEBRA
MILLER, JB
MATHEMATICAL PROCEEDINGS OF THE CAMBRIDGE PHILOSOPHICAL SOCIETY, 1990, 107 : 539 - 556
[3] STRICTLY REAL BANACH-ALGEBRAS
MILLER, JB
BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY, 1993, 47 (03) : 505 - 519
[4] Strictly Convex Banach Algebras
Yost, David
AXIOMS, 2021, 10 (03)
[5] Strictly cyclic operator algebras on Banach spaces
Peligrad, C
INTEGRAL EQUATIONS AND OPERATOR THEORY, 2004, 48 (04) : 557 - 560
[6] Strictly Cyclic Operator Algebras on Banach Spaces
Costel Peligrad
Integral Equations and Operator Theory, 2004, 48 : 557 - 560
[7] STRICTLY CYCLIC OPERATOR ALGEBRAS ON A BANACH SPACE
EMBRY, MR
NOTICES OF THE AMERICAN MATHEMATICAL SOCIETY, 1972, 19 (02): : A302 - A302
[8] STRICTLY CYCLIC OPERATOR ALGEBRAS ON A BANACH SPACE
EMBRY, MR
PACIFIC JOURNAL OF MATHEMATICS, 1973, 45 (02) : 443 - 452
[9] Real Banach * Algebras
Bingren Li Institute of Mathematics
Acta Mathematica Sinica,English Series, 2000, 16 (03) : 469 - 486
[10] Real Banach * algebras
Li, BR
Tam, P
ACTA MATHEMATICA SINICA-ENGLISH SERIES, 2000, 16 (03): : 469 - 486

← 1 2 3 4 5 →