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On the weak decomposition property $(δ_{w})$

El Hassan Zerouali; Hassane Zguitti — 2005

Studia Mathematica

We study a new class of bounded linear operators which strictly contains the class of bounded linear operators with the decomposition property (δ) or the weak spectral decomposition property (weak-SDP). We treat general local spectral properties for operators in this class and compare them with the case of operators with (δ).

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On the weak decomposition property ( δ w )

On the weak decomposition property $(δ_{w})$