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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Displaying similar documents to “Special symmetries of Banach spaces isomorphic to Hilbert spaces”
Isomorphic characterizations of Hilbert spaces by orthogonal series with vector valued coefficients
An elementary proof of Komlós-Révész theorem in Hilbert spaces.
Guessous, Mohamed (1997)
Journal of Convex Analysis
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Small operators between Banach and Hilbert spaces
R. Dudley (1970)
Studia Mathematica
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Addendum and corrigendum to the paper "Some applications of Zygmund's lemma to non-linear differential equations in Banach and Hilbert spaces" (Studia Math., 44 (1972), pp. 335-344)
T. Flett (1972)
Studia Mathematica
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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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The Distortion of Hilbert Space.
E. Odell, Th. Schlumprecht (1993)
Geometric and functional analysis
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On self-conjugate Banach spaces
R. Sztencel, P. Zaremba (1981)
Colloquium Mathematicae
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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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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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Snakes and articulated arms in an Hilbert space
Fernand Pelletier, Rebhia Saffidine (2013)
Annales de la faculté des sciences de Toulouse Mathématiques
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The purpose of this paper is to give an illustration of results on integrability of distributions and orbits of vector fields on Banach manifolds obtained in [5] and [4]. Using arguments and results of these papers, in the context of a separable Hilbert space, we give a generalization of a Theorem of accessibility contained in [3] and [6] for articulated arms and snakes in a finite dimensional Hilbert space.
Some embedding properties of Hilbert subspaces in topological vector spaces
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.
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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Hilbert Subsets and s-Integral Points.
Pierre Dèbes (1996)
Manuscripta mathematica
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Hilbert transformation of Beurling ultradistributions
S. Pilipović (1987)
Rendiconti del Seminario Matematico della Università di Padova
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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.