Bornological projective limits of inductive limits of normed spaces

José Bonet; Sven Ake Wegner

Bornological projective limits of inductive limits of normed spaces

José Bonet, Sven Ake Wegner

Department of Mathematics

Research output: Contribution to journal › Article › peer-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 language	English
Pages (from-to)	227-242
Number of pages	16
Journal	Functiones et Approximatio, Commentarii Mathematici
Volume	44
Issue number	2
Publication status	Published - 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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KW - Locally Convex Spaces

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KW - Weighted Spaces Of Continuous Functions.

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