Open Access
September 2008 Isometry Games in Banach Spaces
Stefano Baratella, Siu-Ah Ng
Bull. Belg. Math. Soc. Simon Stevin 15(3): 509-521 (September 2008). DOI: 10.36045/bbms/1222783097

Abstract

We study a property of extension of partial isometries in a Banach space. This property is formulated in game-theoretic language. It is weaker than transitivity, self-dual for reflexive spaces and it is related to a well-known open problem in functional analysis and to model-theoretic notions from mathematical logic.

Citation

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Stefano Baratella. Siu-Ah Ng. "Isometry Games in Banach Spaces." Bull. Belg. Math. Soc. Simon Stevin 15 (3) 509 - 521, September 2008. https://doi.org/10.36045/bbms/1222783097

Information

Published: September 2008
First available in Project Euclid: 30 September 2008

zbMATH: 1163.46003
MathSciNet: MR2457966
Digital Object Identifier: 10.36045/bbms/1222783097

Subjects:
Primary: 46B04
Secondary: 46B08 , 46B10

Keywords: Banach space , games , isometry , transitivity

Rights: Copyright © 2008 The Belgian Mathematical Society

Vol.15 • No. 3 • September 2008
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