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Ideals and Subalgebras of a Function Algebra

Published online by Cambridge University Press:  20 November 2018

Bruce Lund
Bruce Lund*
Affiliation:
University of New Brunswick, Fredericton, New Brunswick
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Let X be a compact Hausdorff space and C(X) the set of all continuous complex-valued functions on X. A function algebra A on X is a uniformly closed, point separating subalgebra of C(X) which contains the constants. Equipped with the sup-norm, A becomes a Banach algebra. We let MA denote the maximal ideal space and SA the Shilov boundary.

Type
Research Article
Information
Canadian Journal of Mathematics , Volume 26 , Issue 2 , April 1974 , pp. 405 - 411
Copyright
Copyright © Canadian Mathematical Society 1974

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