How many operators do there exist on a Banach space?
Functional Analysis
2007-05-23 v1
Abstract
We present partial results to the following question: Does every infinite dimensional Banach space have an infinite dimensional subspace on which one can define an operator which is not a compact perturbation of a scalar multiplication?
Cite
@article{arxiv.math/0208055,
title = {How many operators do there exist on a Banach space?},
author = {Th. Schlumprecht},
journal= {arXiv preprint arXiv:math/0208055},
year = {2007}
}