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On generalized property (v) for bounded linear operators

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Sanabria J., Carpintero C., Rosas E., García O.

Studia Mathematica

2012

tom 212

nr 2

141-154

An operator T acting on a Banach space X has property (gw) if $σ_{a}(T)∖σ_{SBF₊¯}(T) = E(T)$, where $σ_{a}(T)$ is the approximate point spectrum of T, $σ_{SBF₊¯}(T)$ is the upper semi-B-Weyl spectrum of T and E(T) is the set of all isolated eigenvalues of T. We introduce and study two new spectral properties (v) and (gv) in connection with Weyl type theorems. Among other results, we show that T satisfies (gv) if and only if T satisfies (gw) and $σ(T) = σ_{a}(T)$.

Ograniczanie wyników

1 Studia Mathematica

1 Carpintero C.

1 García O.

1 Rosas E.

1 Sanabria J.

1 2012

Wyniki wyszukiwania

On generalized property (v) for bounded linear operators