On C-spectrality of locally convex -algebras in C*-algebras

被引：0

作者：

Hatt, S. J. ^{[1
]}

Inoue, A. ^{[1
]}

Ogi, H. ^{[1
]}

机构：

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

来源：

TOPOLOGICAL ALGEBRAS AND APPLICATIONS | 2007年 / 427卷

关键词：

locally convex *-algebra; C*-seminorm; spectral invariance; differential seminorm;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let U[tau] be a locally convex *-algebra with a C*-norm parallel to . parallel to such that tau is finer than parallel to . parallel to. Denote by (U) over tilde[tau] the completion of U[tau]. We characterize spectral invariance of (U) over tilde[tau] using the embedding map, the spectral radius and a*-representation.

引用

页码：89 / 95

页数：7

共 50 条

[21] Crossed products of locally C*-algebras
Joita, Maria
ROCKY MOUNTAIN JOURNAL OF MATHEMATICS, 2007, 37 (05) : 1623 - 1644
[22] Primitive ideals of locally C*-algebras
ScĂrlĂtescu-Murea S.
Rendiconti del Circolo Matematico di Palermo, 2000, 49 (3) : 561 - 574
[23] Morita equivalence for locally C*-algebras
Joita, M
BULLETIN OF THE LONDON MATHEMATICAL SOCIETY, 2004, 36 : 802 - 810
[24] Induced representations of locally C*-algebras
Joita, M
ROCKY MOUNTAIN JOURNAL OF MATHEMATICS, 2005, 35 (06) : 1923 - 1933
[25] Structure of contractible locally C*-algebras
Fragoulopoulou, M
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2001, 129 (10) : 2889 - 2896
[26] On universal representations and universal enveloping locally C*-algebras for locally JB-algebras
Katz, Alexander A.
Friedman, Oleg
TOPICS IN FUNCTIONAL ANALYSIS AND ALGEBRA, 2016, 672 : 185 - 204
[27] Hermitian spectral theory, automatic continuity and locally convex *-algebras with a C*-enveloping algebra
Bhatt, Subhash J.
Fragoulopoulou, Maria
Inoue, Atsushi
Karia, Dinesh J.
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2007, 331 (01) : 69 - 90
[28] Unbounded *-representations of tensor product locally convex *-algebras induced by unbounded C*-seminorms
Fragoulopoulou, M.
Inoue, A.
STUDIA MATHEMATICA, 2007, 183 (03) : 259 - 271
[29] Operator convex functions over C*-algebras
Silvestrov, Sergei
Osaka, Hiroyuki
Tomiyama, Jun
PROCEEDINGS OF THE ESTONIAN ACADEMY OF SCIENCES, 2010, 59 (01) : 48 - 52
[30] TENSOR PRODUCTS OF LOCALLY CONVEX ALGEBRAS
SMITH, HA
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1966, 17 (01) : 124 - &

← 1 2 3 4 5 →

On C*-spectrality of locally convex *-algebras in C*-algebras

On C-spectrality of locally convex -algebras in C*-algebras