On equivalence of a class of random processes in Hilbert space and a Wiener process.
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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Petruševski, Ljiljana (1989)
Publications de l'Institut Mathématique. Nouvelle Série
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Guessous, Mohamed (1997)
Journal of Convex Analysis
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Lothar Göttsche (1990)
Manuscripta mathematica
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S. Pilipović (1987)
Rendiconti del Seminario Matematico della Università di Padova
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E. Odell, Th. Schlumprecht (1993)
Geometric and functional analysis
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Pierre Dèbes (1996)
Manuscripta mathematica
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T. K. Pogany (1989)
Matematički Vesnik
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Migórski, S. (1995)
Journal of Applied Mathematics and Stochastic Analysis
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B. E. Rhoades (1975)
Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti
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G. H. Constantin ha definito una classe di operatori di Cesàro-Hilbert-Schmidt. In questa Nota l'Autore trova la corrispondente proprietà per una più generale classe di operatori di Hilbert-Schmidt (G. H. S.).
Wiesław Aleksander Dudek (1999)
Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica
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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.
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.