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Montel subspaces of Fréchet spaces of Moscatelli type

Published online by Cambridge University Press:  18 May 2009

Angela A. Albanese
Angela A. Albanese
Affiliation:
Dipartimento Di Matematica UniversitÀ Di Lecce, C.P. 193, Via Per Arnesano 73100, Lecce, Italy
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In this note we show that every complemented Montel subspace F of a Fréchet space E of Moscatelli type is isomorphic to ω or is finite–dimensional; the last case always occurs when E has a continuous norm. To do this, we first study the topology induced by E on its Montel subspaces, extending a result on Fr6chet-Montel spaces of Moscatelli type in [4].

We recall that the Fréchet spaces of Moscatelli type were introduced and studied by J. Bonet and S. Dierolf in [4]; the general idea behind the construction of such spaces was due to V. B. Moscatelli [7].

Type
Research Article
Information
Glasgow Mathematical Journal , Volume 39 , Issue 3 , September 1997 , pp. 345 - 350
Copyright
Copyright © Glasgow Mathematical Journal Trust 1997

References

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