A Banach space in which every injective operator is surjective

arxiv: 1209.3042 · v1 · pith:3MTGPHFHnew · submitted 2012-09-13 · 🧮 math.FA · math.GN

Antonio Avil\'es , Piotr Koszmider This is my paper

classification 🧮 math.FA math.GN

keywords banacheveryoperatorspaceconstructcontinuousdimensionalfunctions

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We construct an infinite dimensional Banach space of continuous functions C(K) such that every one-to-one operator on C(K) is onto.

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