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A note on the class group of composita

✍ Scribed by Gary Cornell

Publisher
Elsevier Science
Year
1991
Tongue
English
Weight
230 KB
Volume
39
Category
Article
ISSN
0022-314X

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Partially supported by the research funds of Ministero dell'Uni¨ersita e della Ricerca Scientifica e Tecnologica and by Grant 9300856.CT01 of Consiglio Nazionale delle Ricerche.

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## 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 __z__βˆ‰__CLW__(__T__), where __CLW__(__T__) is the closure of the numerical range __W__(__T__) of __T__ and __d__(__z, W__