Bornological projective limits of inductive limits of normed spaces

José Bonet, Sven Ake Wegner

Research output: Contribution to journalArticlepeer-review

Abstract

We establish a criterion to decide when a countable projective limit of countable inductive limits of normed spaces is bornological. We compare the conditions occurring within our criterion with well-known abstract conditions from the context of homological algebra and with conditions arising within the investigation of weighted PLB-spaces of continuous functions.

Original languageEnglish
Pages (from-to)227-242
Number of pages16
JournalFunctiones et Approximatio, Commentarii Mathematici
Volume44
Issue number2
Publication statusPublished - 2011

Keywords

  • Bornological Spaces
  • Inductive Limits
  • Locally Convex Spaces
  • Projective Limits
  • Weighted Spaces Of Continuous Functions.

ASJC Scopus subject areas

  • Mathematics(all)

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