A note on a theorem of Vidav
Vladimir Rakočević (2000)
Publications de l'Institut Mathématique
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Vladimir Rakočević (2000)
Publications de l'Institut Mathématique
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R. Dudley (1970)
Studia Mathematica
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Sever Silvestru Dragomir (2017)
Concrete Operators
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Some trace inequalities of Shisha-Mond type for operators in Hilbert spaces are provided. Applications in connection to Grüss inequality and for convex functions of selfadjoint operators are also given.
Minghua Lin (2013)
Studia Mathematica
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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.
David Pérez-García (2004)
Studia Mathematica
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We prove that, for 1 ≤ p ≤ q < 2, each multiple p-summing multilinear operator between Banach spaces is also q-summing. We also give an improvement of this result for an image space of cotype 2. As a consequence, we obtain a characterization of Hilbert-Schmidt multilinear operators similar to the linear one given by A. Pełczyński in 1967. We also give a multilinear generalization of Grothendieck's Theorem for GT spaces.
Messirdi, Bekkai, Mortad, Mohammed Hichem (2008)
Banach Journal of Mathematical Analysis [electronic only]
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Mecheri, Salah (2005)
Revista Colombiana de Matemáticas
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Balwant Singh (1974)
Inventiones mathematicae
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Mohammed Hichem Mortad (2011)
Colloquium Mathematicae
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We present a new approach to the question of when the commutativity of operator exponentials implies that of the operators. This is proved in the setting of bounded normal operators on a complex Hilbert space. The proofs are based on some results on similarities by Berberian and Embry as well as the celebrated Fuglede theorem.
A. Andreotti, C. Hill, B. MacKichan (1976)
Inventiones mathematicae
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L. de Boutet de Monvel, F. Trèves (1974)
Inventiones mathematicae
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Alcides Lins Neto (1980)
Inventiones mathematicae
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S. Kwapień (1970)
Studia Mathematica
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