We study a new class of bounded linear operators which strictly contains the class of bounded linear operators with the decomposition property ($\delta $) 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 $(\delta )$.
Keywords:
study class bounded linear operators which strictly contains class bounded linear operators decomposition property delta weak spectral decomposition property weak sdp treat general local spectral properties operators class compare operators delta
Affiliations des auteurs :
El Hassan Zerouali
1
;
Hassane Zguitti
1
1
Département de Mathématiques et Informatique Faculté des Sciences de Rabat BP 1014 Agdal Rabat, Maroc
El Hassan Zerouali; Hassane Zguitti. On the weak decomposition property $(\delta _w)$. Studia Mathematica, Tome 167 (2005) no. 1, pp. 17-28. doi: 10.4064/sm167-1-2
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author = {El Hassan Zerouali and Hassane Zguitti},
title = {On the weak decomposition property $(\delta _w)$},
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