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On the projective tensor product of Fréchet spaces

Published online by Cambridge University Press:  20 January 2009

Juan C. Díaz  and
Juan A. López Molina
Juan C. Díaz
Affiliation:
Cátedra de MatemáticasE.T.S.I. AgrónomosUniversidad de Córdoba14004 Córdoba, Spain
Juan A. López Molina
Affiliation:
Ampliación de MatemáticasE.T.S.I. AgrónomosUniversidad Pol. de Valencia46071 Valencia, Spain
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We are concerned with the following problem. Let F be a Fréchet Montel space and let E be a Fréchet space with a certain property (P). When does it follow that the complete projective tensor product has the property (P)? (We consider the following properties: being Montel, reflexive, satisfying the density condition.) In this paper we provide a positive answer if F is a Montel generalized Dubinsky sequence space with decreasing steps.

Type
Research Article
Information
Proceedings of the Edinburgh Mathematical Society , Volume 34 , Issue 2 , June 1991 , pp. 169 - 178
Copyright
Copyright © Edinburgh Mathematical Society 1991

References

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