How many operators do there exist on a Banach space?

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/64675We 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?Functional Analysis46B03, 46B20How many operators do there exist on a Banach space?text