A spectral analysis of linear operator pencils on Banach spaces with application to quotient of bounded operators

Messirdi, Bekkai; Gherbi, Abdellah; Amouch, Mohamed

dc.contributor.author	Messirdi, Bekkai
dc.contributor.author	Gherbi, Abdellah
dc.contributor.author	Amouch, Mohamed
dc.date.accessioned	2019-06-23T09:53:36Z
dc.date.available	2019-06-23T09:53:36Z
dc.date.issued	2015-02-28
dc.identifier.issn	2291-8639
dc.identifier.uri	http://e-biblio.univ-mosta.dz/handle/123456789/11052
dc.description.abstract	Let X and Y two complex Banach spaces and (A;B) a pair of bounded linear operators acting on X with value on Y: This paper is con- cerned with spectral analysis of the pair (A;B): We establish some properties concerning the spectrum of the linear operator pencils A 􀀀 B when B is not necessarily invertible and 2 C: Also, we use the functional calculus for the pair (A;B) to prove the corresponding spectral mapping theorem for (A;B): In addition, we de ne the generalized Kato essential spectrum and the closed range spectra of the pair (A;B) and we give some relationships between this spectrums. As application, we describe a spectral analysis of quotient opera- tors.	en_US
dc.publisher	International Journal of Analysis and Applications	en_US
dc.subject	Operator pencils	en_US
dc.subject	Functional calculus	en_US
dc.subject	Spectral mapping theorem	en_US
dc.subject	Browder spectrum	en_US
dc.subject	Generalized Kato type spectrum	en_US
dc.subject	Quotient of bounded operators	en_US
dc.title	A spectral analysis of linear operator pencils on Banach spaces with application to quotient of bounded operators	en_US
dc.type	Article	en_US