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).
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-sm167-1-2, author = {El Hassan Zerouali and Hassane Zguitti}, title = {On the weak decomposition property $($\delta$\_{w})$ }, journal = {Studia Mathematica}, volume = {166}, year = {2005}, pages = {17-28}, zbl = {1202.47005}, language = {en}, url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-sm167-1-2} }
El Hassan Zerouali; Hassane Zguitti. On the weak decomposition property $(δ_{w})$ . Studia Mathematica, Tome 166 (2005) pp. 17-28. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-sm167-1-2/