Journal of the
Korean Mathematical Society
JKMS

ISSN(Print) 0304-9914 ISSN(Online) 2234-3008

Article

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J. Korean Math. Soc. 2003; 40(2): 307-317

Printed March 1, 2003

Copyright © The Korean Mathematical Society.

On spectral boundedness

Robin Harte

Trinity College

Abstract

For linear operators between Banach algebras ``spectral boundedness" is derived from ordinary boundedness by substituting spectral radius for norm. The interplay between this concept and some of its near relatives is conspicuous in a result of Curto and Mathieu.

Keywords: spectral boundedness, derivation

MSC numbers: 47B47