The Maximal Ideal Space of C(K, A)
Let C(K, A) denote the space of all continuous Avalued functions on the compact Hausdorff space K, where A is a commutative Banach algebra. In this paper we show that the maximal ideal space of C(K, A) can be identified with K × M, where M denotes the maximal ideal space of A.
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| Format: | Article |
| Language: | English |
| Published: |
Islamic Azad University
2007-05-01
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| Series: | Journal of Mathematical Extension |
| Online Access: | http://ijmex.com/index.php/ijmex/article/view/29 |
| Summary: | Let C(K, A) denote the space of all continuous Avalued
functions on the compact Hausdorff space K, where A is
a commutative Banach algebra. In this paper we show that the
maximal ideal space of C(K, A) can be identified with K × M,
where M denotes the maximal ideal space of A. |
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| ISSN: | 1735-8299 1735-8299 |