Some simple proofs in holomorphic spectral theory

• Autorzy: Graham R. Allan
• Języki publikacji: EN

Abstrakty

EN

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.

Kategorie tematyczne

• 46H10: Ideals and subalgebras
• 46H40: Automatic continuity
• 31A05: Harmonic, subharmonic, superharmonic functions

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Banach Center Publications
• Rocznik: 2007
• Tom: 75
• Numer: 1
• Strony: 9-15

Daty

wydano

2007

Twórcy

autor

Graham R. Allan

• Department of Pure Mathematics and Mathematical Statistics, Centre for Mathematical Sciences, University of Cambridge, Wilberforce Road, Cambridge CB3 0WB, U.K.

Identyfikatory

DOI

10.4064/bc75-0-1