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Semi-algebras in C(T)

Published online by Cambridge University Press:  18 May 2009

Bertram Yood
Bertram Yood
Affiliation:
Pennsylvania State University, University Park, Pa. 16802, U.S.A.
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Let C(T) be the Banach algebra of all complex-valued continuous functions on the compact set T of all complex numbers with modulus one. As usual we may suppose that A is embedded in C(T), where A is the disc algebra, i.e., the algebra of all complex-valued functions f(λ) continuous for |λ| ≦ 1. and analytic for |λ| < 1. We set Mλ = {f ∈ A: f(λ) = 0} and Mλ = {f ∈ A: f(λ) ≧ 0}.

Type
Research Article
Information
Glasgow Mathematical Journal , Volume 15 , Issue 1 , March 1974 , pp. 85 - 87
Copyright
Copyright © Glasgow Mathematical Journal Trust 1974

References

REFERENCES

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