Domain of partial attraction for infinitely divisible distributions in a Hilbert space
J. Barańska (1973)
Colloquium Mathematicae
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J. Barańska (1973)
Colloquium Mathematicae
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Guessous, Mohamed (1997)
Journal of Convex Analysis
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R. Jajte (1968)
Colloquium Mathematicae
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M. Kłosowska (1973)
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.
Lothar Göttsche (1990)
Manuscripta mathematica
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S. Pilipović (1987)
Rendiconti del Seminario Matematico della Università di Padova
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Migórski, S. (1995)
Journal of Applied Mathematics and Stochastic Analysis
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S. Kwapien (1972-1973)
Séminaire Analyse fonctionnelle (dit "Maurey-Schwartz")
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E. Odell, Th. Schlumprecht (1993)
Geometric and functional analysis
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Humio Ichimura, Hiroki Sumida-Takahashi (2009)
Acta Arithmetica
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Pierre Dèbes (1996)
Manuscripta mathematica
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Petruševski, Ljiljana (1989)
Publications de l'Institut Mathématique. Nouvelle Série
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Petruševski, Ljiljana (1989)
Publications de l'Institut Mathématique. Nouvelle Série
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Zeng Guangxin (1991)
Mathematische Zeitschrift
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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.