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arXiv · 1406.7165

Bornological projective limits of inductive limits of normed spaces

José Bonet·Sven-Ake Wegner
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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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José Bonet, Sven-Ake Wegner. 2014-06-27. Bornological projective limits of inductive limits of normed spaces. https://doi.org/10.7169/facm%2F1308749126

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