Muneo Chō, Tadasi Huruya (2004)
Studia Mathematica
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The purpose of this paper is to introduce mosaics and principal functions of p-hyponormal operators and give a trace formula. Also we introduce p-nearly normal operators and give trace formulae for them.
R. Jajte, A. Paszkiewicz (1978)
Studia Mathematica
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Saworotnow, Parfeny P. (1981)
International Journal of Mathematics and Mathematical Sciences
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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.
Milutin Dostanić (1993)
Publications de l'Institut Mathématique
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Sever S. Dragomir (2016)
Annales Mathematicae Silesianae
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Some reverse Jensen’s type trace inequalities for convex functions of selfadjoint operators in Hilbert spaces are provided. Applications for some convex functions of interest and reverses of Hölder and Schwarz trace inequalities are also given.
Robert Elliott (1970)
Compositio Mathematica
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H. J. Brascamp (1969)
Compositio Mathematica
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Ryszard Jajte, Richard Loebl (1981)
Studia Mathematica
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M. Gil (1992)
Studia Mathematica
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Let A be a closed linear operator acting in a separable Hilbert space. Denote by co(A) the closed convex hull of the spectrum of A. An estimate for the norm of f(A) is obtained under the following conditions: f is a holomorphic function in a neighbourhood of co(A), and for some integer p the operator is Hilbert-Schmidt. The estimate improves one by I. Gelfand and G. Shilov.