## Abstract In this paper, we propose a new method to characterize in terms of “quasi‐topology” the image of Gelfand transform of commutative Banach algebras. Our studies in this paper were inspired by the work of R. Doss in 1967–1968. Among other things, we consider a generalization of Doss' resu
Factorization in a Banach Algebra and the Gelfand Transform
✍ Scribed by M. C. Câmara
- Publisher
- John Wiley and Sons
- Year
- 1995
- Tongue
- English
- Weight
- 757 KB
- Volume
- 176
- Category
- Article
- ISSN
- 0025-584X
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✦ Synopsis
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.
📜 SIMILAR VOLUMES
In this paper (8, Z, p) will always denote a finite measure space and X a BA-NACH space. K ( p , 9) will denote the BANACH space of p-continuous X-valued measures G defined on L ? having relatively coinpact range, endowed with the semivariation norm (see Purpose of this note is to show that if X is
In this paper (8, Z, p) will always denote a finite measure space and X a BA-NACH space. K ( p , 9) will denote the BANACH space of p-continuous X-valued measures G defined on L ? having relatively coinpact range, endowed with the semivariation norm (see Purpose of this note is to show that if X is