Betti numbers for the Hilbert function strata of the punctual Hilbert scheme in two variables.
Lothar Göttsche (1990)
Manuscripta mathematica
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Lothar Göttsche (1990)
Manuscripta mathematica
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Herbert Gross, Hans A. Keller (1977/78)
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Alexander Prestel (1995)
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Ulrich Orbanz (1981)
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Guessous, Mohamed (1997)
Journal of Convex Analysis
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Petruševski, Ljiljana (1989)
Publications de l'Institut Mathématique. Nouvelle Série
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Petruševski, Ljiljana (1989)
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E. Odell, Th. Schlumprecht (1993)
Geometric and functional analysis
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Mario Bonk (1992)
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P. Monsky (1983)
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Minghua Lin (2013)
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Let A, B be positive operators on a Hilbert space with 0 < m ≤ A, B ≤ M. Then for every unital positive linear map Φ, Φ²((A + B)/2) ≤ K²(h)Φ²(A ♯ B), and Φ²((A+B)/2) ≤ K²(h)(Φ(A) ♯ Φ(B))², where A ♯ B is the geometric mean and K(h) = (h+1)²/(4h) with h = M/m.
West, J. E.
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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.).