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A WEAKLY ANALYTIC LOCALLY CONVEX SPACE WHICH IS NOT K-ANALYTIC

Part of: Maps and general types of spaces defined by maps Topological linear spaces and related structures Connections with other structures, applications

Published online by Cambridge University Press:  09 February 2009

JUAN CARLOS FERRANDO
JUAN CARLOS FERRANDO*
Affiliation:
Centro de Investigación Operativa, Universidad Miguel Hernández, 03202 Elche, Alicante, Spain (email: jc.ferrando@umh.es)
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Abstract

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It is shown that the dual of the space Cp(I) of all real-valued continuous functions on the closed unit interval with the pointwise topology, when equipped with the Mackey topology, is a non K-analytic but weakly analytic locally convex space.

Keywords

analytic and K-analytic spacelocally convex spaceBorel measure

MSC classification

Secondary: 54H05: Descriptive set theory (topological aspects of Borel, analytic, projective, etc. sets) 46A03: General theory of locally convex spaces 54C35: Function spaces
Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 79 , Issue 1 , February 2009 , pp. 31 - 35
Copyright
Copyright © Australian Mathematical Society 2009

Footnotes

This research has been partially supported by project MTM2005-01182 of the Spanish Ministry of Education and Science, co-financed by the European Community (Feder funds).

References

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