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Inductive and projective limits of smooth topological vector spaces
Published online by Cambridge University Press: 17 April 2009
Abstract
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.
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- Copyright © Australian Mathematical Society 1972
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