scholarly journals On the ideal structure of Banach algebras

1972 ◽  
Vol 169 ◽  
pp. 59-59 ◽  
Author(s):  
William E. Dietrich
Keyword(s):  
Banach Algebras ◽  
Ideal Structure ◽  
The Ideal

scholarly journals On the ideal structure of some Banach algebras related to convolution operators on Lp(G)

2004 ◽  
Vol 215 (2) ◽  
pp. 341-365 ◽  
Author(s):  
Antoine Derighetti ◽  
Mahmoud Filali ◽  
Mehdi Sangani Monfared
Keyword(s):  
Banach Algebras ◽  
Ideal Structure ◽  
Convolution Operators ◽  
The Ideal

The ideal structure of some Banach algebras

1992 ◽  
Vol 111 (3) ◽  
pp. 567-576 ◽  
Author(s):  
M. Filali
Keyword(s):  
Compact Group ◽  
Banach Algebras ◽  
Main Tool ◽  
Locally Compact Group ◽  
Ideal Structure ◽  
Locally Compact ◽  
Character Group ◽  
The Ideal

AbstractLet G be a locally compact group and let Ĝ be its character group. Among other results, the minimal left ideals of L∞(G)* and LUC(G)* are all found when G is abelian. The main tool used for this study is the set of (topological) χ-invariant functionals (χ∈Ĝ), defined in this paper.

The ideal structure of XX

1984 ◽  
Vol 30 (1) ◽  
pp. 41-51 ◽  
Author(s):  
Neil Hindman ◽  
Paul Milnes
Keyword(s):  
Ideal Structure ◽  
The Ideal

scholarly journals Falling -Ideals in -Algebras

2011 ◽  
Vol 2011 ◽  
pp. 1-14 ◽  
Author(s):  
Young Bae Jun ◽  
Sun Shin Ahn ◽  
Kyoung Ja Lee
Keyword(s):  
Theoretical Approach ◽  
Ideal Structure ◽  
Fundamental Properties ◽  
The Ideal

Based on the theory of a falling shadow which was first formulated by Wang (1985), a theoretical approach of the ideal structure in -algebras is established. The notions of a falling -subalgebra, a falling -ideal, a falling -ideal, and a falling -ideal of a -algebra are introduced. Some fundamental properties are investigated. Relations among a falling -subalgebra, a falling -ideal, a falling -ideal, and a falling -ideal are stated. Characterizations of falling -ideals and falling -ideals are discussed. A relation between a fuzzy -subalgebra and a falling -subalgebra is provided.

scholarly journals The ideal structure of the Hecke $C^*$ -algebra of Bost and Connes

2000 ◽  
Vol 318 (3) ◽  
pp. 433-451 ◽  
Author(s):  
Marcelo Laca ◽  
Iain Raeburn
Keyword(s):  
Ideal Structure ◽  
C Algebra ◽  
The Ideal

A Note on the Ideal Structure of C(X)

1969 ◽  
Vol 23 (1) ◽  
pp. 174 ◽  
Author(s):  
William E. Dietrich
Keyword(s):  
Ideal Structure ◽  
The Ideal
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