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On the Topology of the Space of Hankel Convolution Operators

✍ Scribed by J.J. Betancor; I. Marrero

Publisher: Elsevier Science
Year: 1996
Tongue: English
Weight: 145 KB
Volume: 201
Category: Article
ISSN: 0022-247X
DOI: 10.1006/jmaa.1996.0297

No coin nor oath required. For personal study only.

✦ Synopsis

its space of convolution operators, and let O O be the predual of O O X . We prove , ࠻ , ࠻ that the topology of uniform convergence on bounded subsets of H H and the strong dual toplogy coincide on O O X . Our technique, involving Mackey topologies, differs , ࠻ from, and is simpler than, those usually employed with the same purpose for other spaces of convolution operators, to which it is also applicable. As a consequence, the properties of O O being reflexive, complete, nuclear, and Montel are estab-, ࠻ lished.

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