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Spectral Mapping Theorem for Rakocević and Schmoeger Essential Spectra of a Multivalued Linear Operator

✍ Scribed by Abdmouleh, Faiçal; Àlvarez, Teresa; Ammar, Aymen; Jeribi, Aref

Book ID: 125840652
Publisher: SP Birkhäuser Verlag Basel
Year: 2014
Tongue: English
Weight: 265 KB
Volume: 12
Category: Article
ISSN: 1660-5446
DOI: 10.1007/s00009-014-0437-7

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## Abstract In this paper we investigate the essential spectra of the sum of two bounded linear operators defined on a Banach space by means of the essential spectra of each of the two operators where their products are Fredholm or semi‐Fredholm perturbations. Furthermore, we give an application to