The Strong Convex Compactness Property and C0-Semigroups on Some Hereditarily Indecomposable Banach Spaces

Authors

  • Abdelkader Dehici

Keywords:

Hereditarily indecomposable Banach space, strictly singular operator, spreading model, strong convex compactness property, Banach space of Gowers-Maurey XGM, Banach space of Argyros-Motakis XAM, C0-semigroup

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 (2014). We prove in particular that the Bochner integral of a family of strictly singular operators is a strictly singular operator. Also, some properties of C0-semigroups defined on these Banach spaces are given.

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Published

18.08.2018

How to Cite

Dehici, A. . (2018). The Strong Convex Compactness Property and C0-Semigroups on Some Hereditarily Indecomposable Banach Spaces. Sarajevo Journal of Mathematics, 14(1), 113–123. Retrieved from https://sjm.anubih.ba/index.php/sjm/article/view/89

Issue

Vol. 14 No. 1 (2018)

Section

Articles