How many operators do there exist on a Banach space?

Th. Schlumprecht

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arXiv · math/0208055

How many operators do there exist on a Banach space?

Th. Schlumprecht

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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?

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Th. Schlumprecht. 2002-08-07. How many operators do there exist on a Banach space?. https://arxiv.org/abs/math/0208055

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