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arXiv 2018-01-29 4 views

Essential Descent Spectrum Equality

Tajmouati, Abdelaziz · Boua, Hamid

Original · EN

A bounded operator T in a Banach space X is said to satisfy the essential descent spectrum equality, if the descent spectrum of T as an operator on X coincides with the essential descent spectrum of T. In this note, we give some conditions under which the equality σdesc(T) = σᵉdesc(T) holds for a single operator T.

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