An elementary proof of Komlós-Révész theorem in Hilbert spaces.
Guessous, Mohamed (1997)
Journal of Convex Analysis
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Displaying similar documents to “Some embedding properties of Hilbert subspaces in topological vector spaces”
An elementary proof of Komlós-Révész theorem in Hilbert spaces.
Hilbert transformation of Beurling ultradistributions
S. Pilipović (1987)
Rendiconti del Seminario Matematico della Università di Padova
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Betti numbers for the Hilbert function strata of the punctual Hilbert scheme in two variables.
Lothar Göttsche (1990)
Manuscripta mathematica
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On discrete subspaces of a Hilbert space
J. Płonka (1977)
Colloquium Mathematicae
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The Distortion of Hilbert Space.
E. Odell, Th. Schlumprecht (1993)
Geometric and functional analysis
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A counterexample to a compact embedding theorem for functions with values in a Hilbert space.
Migórski, S. (1995)
Journal of Applied Mathematics and Stochastic Analysis
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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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On equivalence of a process of diffusion type in Hilbert space and a Wiener process.
Petruševski, Ljiljana (1989)
Publications de l'Institut Mathématique. Nouvelle Série
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Partial Hilbert spaces and amplitude functions
Stanley Gudder (1986)
Annales de l'I.H.P. Physique théorique
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A product of three projections
Eva Kopecká, Vladimír Müller (2014)
Studia Mathematica
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Let X and Y be two closed subspaces of a Hilbert space. If we send a point back and forth between them by orthogonal projections, the iterates converge to the projection of the point onto the intersection of X and Y by a theorem of von Neumann. Any sequence of orthoprojections of a point in a Hilbert space onto a finite family of closed subspaces converges weakly, according to Amemiya and Ando. The problem of norm convergence was open for a long time. Recently Adam...
Isomorphic characterizations of Hilbert spaces by orthogonal series with vector valued coefficients
S. Kwapien (1972-1973)
Séminaire Analyse fonctionnelle (dit "Maurey-Schwartz")
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Hilbert Subsets and s-Integral Points.
Pierre Dèbes (1996)
Manuscripta mathematica
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Special symmetries of Banach spaces isomorphic to Hilbert spaces
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.
The complemented subspace problem revisited
N. J. Kalton (2008)
Studia Mathematica
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We show that if X is an infinite-dimensional Banach space in which every finite-dimensional subspace is λ-complemented with λ ≤ 2 then X is (1 + C√(λ-1))-isomorphic to a Hilbert space, where C is an absolute constant; this estimate (up to the constant C) is best possible. This answers a question of Kadets and Mityagin from 1973. We also investigate the finite-dimensional versions of the theorem.
A class of generalized-Hilbert-Schmidt operators
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.).