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Subjects
46-XX Functional analysis
46Cxx Inner product spaces and their generalizations, Hilbert spaces
46C05 Hilbert and pre-Hilbert spaces: geometry and topology (including spaces with semidefinite inner product)

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Displaying 1 – 3 of 3

Failure of the Factor Theorem for Borel pre-Hilbert spaces

Tadeusz Dobrowolski, Witold Marciszewski (2002)

Fundamenta Mathematicae

In every infinite-dimensional Fréchet space X, we construct a linear subspace E such that E is an $F_{σ δ σ}$ -subset of X and contains a retract R so that $R \times E^{ω}$ is not homeomorphic to $E^{ω}$ . This shows that Toruńczyk’s Factor Theorem fails in the Borel case.

Fonctions «spline» et noyaux reproduisants d'Aronszajn-Bergman

Marc Atteia (1970)

ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique

Frame functions, signed measures and completeness of inner product spaces

Anatolij Dvurečenskij (1989)

Acta Universitatis Carolinae. Mathematica et Physica

Currently displaying 1 – 3 of 3

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