On lifting analytic relations in commutative Banach algebras
β Scribed by G.R Allan
- Publisher
- Elsevier Science
- Year
- 1970
- Tongue
- English
- Weight
- 383 KB
- Volume
- 5
- Category
- Article
- ISSN
- 0022-1236
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π SIMILAR VOLUMES
spectral theory of bounded linear operators on Banach spaces are investigated and characterized in the context of multipliers on a semi-simple commutative Banach algebra. Particular emphasis is given to the determination of the local spectra of such multipliers in connection with Dunford's property
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