On commutativity and the numerical range in Banach algebras
β Scribed by J.P Williams
- Publisher
- Elsevier Science
- Year
- 1972
- Tongue
- English
- Weight
- 176 KB
- Volume
- 10
- Category
- Article
- ISSN
- 0022-1236
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π SIMILAR VOLUMES
We develop results which show that elements in the radical of a commutative Banach algebra are often precluded from having prime-like properties if we avoid certain exceptional situations involving torsion elements. This makes the proof of the Singer-Wermer conjecture conceptually much clearer. It a
## Abstract In this paper, we propose a new method to characterize in terms of βquasiβtopologyβ the image of Gelfand transform of commutative Banach algebras. Our studies in this paper were inspired by the work of R. Doss in 1967β1968. Among other things, we consider a generalization of Doss' resu
The Gelfand transform is used to reduce the Wiener-Hopf factorization of a class of n x n matrix-valued functions to that of a scalar function. The complete factorization is obtained, including the partial indices.