Bornological projective limits of inductive limits of normed spaces
Loading...
Date
2011
Authors
Bonet, José
Wegner, Sven Ake
Journal Title
Journal ISSN
Volume Title
Publisher
Functiones et Approximatio, Commentarii Mathematici
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.
Description
Keywords
Bornological spaces, inductive limits, locally convex spaces, projective limits, weighted spaces of continuous functions
Citation
Bonet, J., & Wegner, S. A. (2011). Bornological projective limits of inductive limits of normed spaces. Functiones et Approximatio, Commentarii Mathematici, 44(2), 227-242.