On the property (B v)


Abstract:

In this paper, we study the property (Bv) for a bounded linear operator T∈ L (X) on a Banach space X, through the methods of local spectral theory. This property is equivalent to a-Browder’s theorem. In particular, we shall give several conditions, by using the localized SVEP, for guarantee property (Bv) over a proper closed subspace of X, the Fredholm and upper semi-Fredholm spectrums are coincident between them, and also with other spectra, and under some topological conditions the operator T verifies property (Bv).

Año de publicación:

2021

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    Fuente:

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    Tipo de documento:

    Other

    Estado:

    Acceso abierto

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