On the generalized Kato spectrum

Authors: Benharrat, MohammedMessirdi, Bekkai
Issue Date: 2011
Citation: Serdica Mathematical Journal, Vol. 37, No 4, (2011), 283p-294p Copy to clipboard
ISSN: 1310-6600
URI: http://hdl.handle.net/10525/2737 Copy to clipboard
Note:

2010 Mathematics Subject Classification: 47A10.

Abstract: We show that the symmetric difference between the generalized Kato spectrum and the essential spectrum defined in [7] by sec(T) = {l О C ; R(lI-T) is not closed } is at most countable and we also give some relationship between this spectrum and the SVEP theory.
Language: en
Publisher: Institute of Mathematics and Informatics, Bulgarian Academy of SciencesSubject: Semi-Regular OperatorsKato Type OperatorsGeneralized Kato SpectrumEssential Spectrum
Type: Article