Strictly singular non-compact diagonal operators on HI spaces
Functional Analysis
2008-07-16 v1
Abstract
We construct a Hereditarily Indecomposable Banach space with a Schauder basis \seq{e}{n} on which there exist strictly singular non-compact diagonal operators. Moreover, the space of diagonal operators with respect to the basis \seq{e}{n} contains an isomorphic copy of .
Cite
@article{arxiv.0807.2388,
title = {Strictly singular non-compact diagonal operators on HI spaces},
author = {Spiros A. Argyros and Irene Deliyanni and Andreas G. Tolias},
journal= {arXiv preprint arXiv:0807.2388},
year = {2008}
}