An elementary proof of Komlós-Révész theorem in Hilbert spaces.
Guessous, Mohamed (1997)
Journal of Convex Analysis
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Guessous, Mohamed (1997)
Journal of Convex Analysis
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Lothar Göttsche (1990)
Manuscripta mathematica
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Petruševski, Ljiljana (1989)
Publications de l'Institut Mathématique. Nouvelle Série
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Eberhard Gerlach (1971)
Annales de l'institut Fourier
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A general theorem on Hilbert subspaces of dually nuclear spaces is proved, from which all previous results of K. Maurin and the writer on regularity of generalized eigenfunctions follow as simple corollaries. In addition some supplements to L. Schwartz’s work on Hilbert subspaces in spaces of smooth functions are given.
E. Odell, Th. Schlumprecht (1993)
Geometric and functional analysis
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West, J. E.
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S. Pilipović (1987)
Rendiconti del Seminario Matematico della Università di Padova
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Petruševski, Ljiljana (1989)
Publications de l'Institut Mathématique. Nouvelle Série
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J. Płonka (1977)
Colloquium Mathematicae
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Jarno Talponen (2010)
Studia Mathematica
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We characterize Hilbert spaces among Banach spaces in terms of transitivity with respect to nicely behaved subgroups of the isometry group. For example, the following result is typical: If X is a real Banach space isomorphic to a Hilbert space and convex-transitive with respect to the isometric finite-dimensional perturbations of the identity, then X is already isometric to a Hilbert space.
Pierre Dèbes (1996)
Manuscripta mathematica
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