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Abstract

In this paper, we study the strong convex compactness property on the hereditarily indecomposable Banach spaces denoted respectively by XGM and XAM
constructed by T. Gowers and B. Maurey (1993) and Argyros-Motakis (2013), we
prove in particular that the Bochner integral of a bounded family of strictly singular operators is a strictly singular operator. Also, some properties of c0-semigroups
defined on these Banach spaces are given.


BibTex

@article{uniusa914,
    title={The strong convex property and C0-semigroups on some hereditarily indecomposable Banach spaces},
    author={ABDELKADER DEHICI},
    journal={preprint}
    year={2017},
    volume={},
    number={},
    pages={1-11},
    publisher={}
}