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 |
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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)