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June 2011 Bornological projective limits of inductive limits of normed spaces
Josè Bonet, Sven-Ake Wegner
Funct. Approx. Comment. Math. 44(2): 227-242 (June 2011). DOI: 10.7169/facm/1308749126

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.

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Josè Bonet. Sven-Ake Wegner. "Bornological projective limits of inductive limits of normed spaces." Funct. Approx. Comment. Math. 44 (2) 227 - 242, June 2011. https://doi.org/10.7169/facm/1308749126

Information

Published: June 2011
First available in Project Euclid: 22 June 2011

zbMATH: 1242.46004
MathSciNet: MR2841181
Digital Object Identifier: 10.7169/facm/1308749126

Subjects:
Primary: 46A13
Secondary: 46A03 , 46A04 , 46A08 , 46E10 , 46M40

Keywords: bornological spaces , inductive limits , locally convex spaces , projective limits , ‎weighted spaces of continuous functions

Rights: Copyright © 2011 Adam Mickiewicz University

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Vol.44 • No. 2 • June 2011
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