A new approach of essential pseudo spectrum in Banach space and application to transport equation
Abstract
In the present paper we introduce and study the essential pseudo spectrum of bounded linear operator on Banach space. Beside that, we discuss some results of stability under Riesz operator and some properties of these pseudo spectrum. This paper also deals with the relationship between the essential pseudo spectrum and the pseudo Browder essential spectrum of bounded linear operator in Banach space. Finally, as an application, we apply these results to a transport equation.
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