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Gustafson, weidmann, kato, wolf, schechter and browder essential spectra of some matrix operator and application to two-group transport equation

✍ Scribed by Aref Jeribi; Ines Walha

Publisher
John Wiley and Sons
Year
2010
Tongue
English
Weight
208 KB
Volume
284
Category
Article
ISSN
0025-584X

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✦ Synopsis

In this paper, we investigate the Gustafson, Weidmann, Kato, Wolf, Schechter and Browder essential spectra of a 2×2 block matrix operator defined on a Banach space where entries are unbounded operators between Banach spaces and with domains consisting of vectors satisfying certain relations between their components under some properties. Furthermore, we give an application to two-group transport equation.

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Gustafson, weidman, kato, wolf, schechte
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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