Quasi-compact operator, pseudo-essential spectra and some perturbation results
نویسندگان
چکیده
منابع مشابه
Some Properties of Essential Spectra of a Positive Operator
Let E be a Banach lattice, T be a bounded operator on E. The Weyl essential spectrum σew(T ) of the operator T is a set σew(T ) = ∩ K∈K(E) σ(T + K), where K(E) is a set of all compact operators on E. In particular for a positive operator T next subsets of the spectrum
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Let T be a positive operator on a Banach lattice E. Some properties of Weyl essential spectrum σew(T ), in particular, the equality σew(T ) = ⋂ 0≤K∈K(E) σ(T +K), where K(E) is the set of all compact operators on E, are established. If r(T ) does not belong to Fredholm essential spectrum σef(T ), then r(T ) 6∈ σ(T +a|T−1|) for every a 6= 0, where T−1 is a residue of the resolvent R(., T ) at r(T...
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ژورنال
عنوان ژورنال: Indagationes Mathematicae
سال: 2017
ISSN: 0019-3577
DOI: 10.1016/j.indag.2017.02.003