Q-reflexive locally convex spaces

Christopher Boyd; Seán Dineen; Milena Venkova

doi:10.2977/prims/1145475965

Q-reflexive locally convex spaces

Christopher Boyd
, Seán Dineen
, Milena Venkova

Research output: Contribution to journal › Article › peer-review

Abstract

For a locally convex space E we use the Aron-Berner extension to define canonical mappings from ⊗_s,n,π E″_e into different duals of P(ⁿE). We investigate necessary and sufficient conditions for the continuity of these mappings, paying particular attention to three special cases - Fréchet spaces, DF spaces and reflexive A-nuclear spaces. We define Q-reflexive spaces as spaces where a certain canonical mapping can be extended to an isomorphism between ⊗_s,n,π E″_e and (p(ⁿe),_τb)_i ^′,). We find examples of such spaces.

Original language	English
Pages (from-to)	7-27
Number of pages	21
Journal	Publications of the Research Institute for Mathematical Sciences
Volume	40
Issue number	1
DOIs	https://doi.org/10.2977/prims/1145475965
Publication status	Published - Mar 2004
Externally published	Yes

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Q-reflexive locally convex spaces

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