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SPECTRAL INCLUSION AND ANALYTIC CONTINUATION

Published online by Cambridge University Press:  01 November 1999

A. ATZMON ,
A. EREMENKO  and
M. SODIN
A. ATZMON
Affiliation:
School of Mathematical Sciences, Tel Aviv University, Ramat Aviv 69978, Israel
A. EREMENKO
Affiliation:
Department of Mathematics, Purdue University, West Lafayette, IN 47907, USA
M. SODIN
Affiliation:
School of Mathematical Sciences, Tel Aviv University, Ramat Aviv 69978, Israel
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Abstract

Let a be an element in a complex Banach algebra with unit, and let r be a nonnegative number. The Gelfand spectral radius formula implies that the spectrum of a is included in the disk {z∈C:[mid ]z[mid ][les ]r} if and only if

formula here

Type
NOTES AND PAPERS
Information
Bulletin of the London Mathematical Society , Volume 31 , Issue 6 , November 1999 , pp. 722 - 728
Copyright
© The London Mathematical Society 1999

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