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Journal of the London Mathematical Society 1976 s2-13(1):13-18; doi:10.1112/jlms/s2-13.1.13
© 1976 by London Mathematical Society
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© Oxford University Press

Strong Uniqueness of the Functional Calculus for Some Commutative Banach Algebras

William R. Zame{dagger}

A commutative Banach algebra with identity is said to be quasi-simple if 0 is the only element which belongs to every power of every maximal ideal. A strong uniqueness result is established for the functional calculus in quasi-simple algebras with no non-trivial idempotents. Related results on uniqueness and continuity of homomorphisms are also obtained.

{dagger}Supported in part by National Science Foundation Grant P037961.


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