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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Jaeseong Heo (2012)
Studia Mathematica
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We consider positive definite kernels which are invariant under a multiplier and an action of a semigroup with involution, and construct the associated projective isometric representation on a Hilbert C*-module. We introduce the notion of C*-valued Hilbert-Schmidt kernels associated with two sequences and construct the corresponding reproducing Hilbert C*-module. We also discuss projective invariance of Hilbert-Schmidt kernels. We prove that the range of a convolution type operator associated...
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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Wiesław Aleksander Dudek (1999)
Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica
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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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Qiong Liu, Dazhao Chen (2016)
Colloquium Mathematicae
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We prove a multi-parameter Hilbert-type integral inequality with a hybrid kernel. We describe the best constant in the inequality in terms of hypergeometric functions. Some equivalent forms of the inequalities are also studied. By specifying parameter values we obtain results proved by other authors as well as many new inequalities.
West, J. E.
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Paul Ressel, Jens P.R. Christensen (1982)
Mathematische Zeitschrift
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