Displaying similar documents to “A Spectral Mapping Theorem for Holomorphic Functions.”

Some simple proofs in holomorphic spectral theory

Graham R. Allan (2007)

Banach Center Publications

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This paper gives some very elementary proofs of results of Aupetit, Ransford and others on the variation of the spectral radius of a holomorphic family of elements in a Banach algebra. There is also some brief discussion of a notorious unsolved problem in automatic continuity theory.