A Banach space in which every injective operator is surjective

Type: Article

Publication Date: 2013-07-05

Citations: 8

DOI: https://doi.org/10.1112/blms/bdt039

Abstract

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

Locations

  • Bulletin of the London Mathematical Society - View
  • arXiv (Cornell University) - View - PDF
  • DataCite API - View

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