Journal article
Closed Subspaces of Finite Codimension in Some Function Algebras
Proceedings of the American Mathematical Society, v 101(4), pp 657-661
1987
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Abstract
We characterize all closed subspaces of finite codimension in some specific types of function algebras e.g. these include C(X): algebra of continuous functions on a compact Hausdorff space, Cn[ a, b ]: the algebra of n-times continuously differentiable functions on the closed interval [ a, b ]. Our work is a generalization of the well-known Gleason-Kahane-Želazko theorem [3, 6] for subspaces of codimension one in arbitrary unitary Banach algebras.
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Details
- Title
- Closed Subspaces of Finite Codimension in Some Function Algebras
- Creators
- Ramesh V. GarimellaN. V. Rao
- Publication Details
- Proceedings of the American Mathematical Society, v 101(4), pp 657-661
- Publisher
- American Mathematical Society
- Resource Type
- Journal article
- Language
- English
- Academic Unit
- Mathematics
- Web of Science ID
- WOS:A1987L051400016
- Scopus ID
- 2-s2.0-33646842169
- Other Identifier
- 991021862299204721
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- Web of Science research areas
- Mathematics
- Mathematics, Applied