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A Note on a Class of Operators

✍ Scribed by S. M. Patel

Publisher
John Wiley and Sons
Year
1977
Tongue
English
Weight
313 KB
Volume
78
Category
Article
ISSN
0025-584X

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✦ Synopsis

Abstract

The aim of this note is to study the spectral properties of the LUECKE's class R of operators T such that β€–(T – zI)^βˆ’1^β€–=1/d(z, W(T)) for all zβˆ‰CLW(T), where CLW(T) is the closure of the numerical range W(T) of T and d(z, W(T)) is the distance from z to W(T). The main emphasis is on the investigation of those properties of operators of class R which are either similar to or distinct from those of operators satisfying the growth condition (G~1~).

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