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Inductive and projective limits of smooth topological vector spaces

Published online by Cambridge University Press:  17 April 2009

John W. Lloyd  and
S. Yamamuro
John W. Lloyd
Affiliation:
Department of Mathematics, Institude of Advanced Studies, Australian National University, Canberra, ACT.
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Abstract

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In J. Math. Mech. 15 (1966), 877–898, Bonic and Frampton have laid the foundation for a general theory of smoothness of Banach spaces. In this paper, we shall study one aspect of the smoothness of topological vector spaces, namely, the relationship between smoothness and inductive and protective limits of topological vector spaces. As a consequence, we obtain smoothness results for nuclear spaces and some Montei spaces.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 6 , Issue 2 , April 1972 , pp. 227 - 240
Copyright
Copyright © Australian Mathematical Society 1972

References

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