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December 2007 Generalized Keller Spaces
Sibylla Priess-Crampe
Bull. Belg. Math. Soc. Simon Stevin 14(5): 979-991 (December 2007). DOI: 10.36045/bbms/1197908908


By means of fields of formal power series, we construct definite Banach spaces over (Krull) valued fields for any cofinal type $\geq\omega _{0}$ of the value group. Among these spaces are all known non-classical form-Hilbert spaces of infinite dimension.


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Sibylla Priess-Crampe. "Generalized Keller Spaces." Bull. Belg. Math. Soc. Simon Stevin 14 (5) 979 - 991, December 2007.


Published: December 2007
First available in Project Euclid: 17 December 2007

zbMATH: 1169.46037
MathSciNet: MR2379002
Digital Object Identifier: 10.36045/bbms/1197908908

Primary: ‎46S10
Secondary: 12J20 , 46C99

Keywords: fields of formal power series , ‎Hilbert spaces , Krull valuations

Rights: Copyright © 2007 The Belgian Mathematical Society

Vol.14 • No. 5 • December 2007
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