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On the variation detracting property of a class of operators

✍ Scribed by Octavian Agratini

Book ID: 108052245
Publisher: Elsevier Science
Year: 2006
Tongue: English
Weight: 137 KB
Volume: 19
Category: Article
ISSN: 0893-9659
DOI: 10.1016/j.aml.2005.12.007

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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 ‖(__T – zI__)^−1^‖=1/__d__(__z, W__(__T__)) for all __z__∉__CLW__(__T__), where __CLW__(__T__) is the closure of the numerical range __W__(__T__) of __T__ and __d__(__z, W__