Results 21 to 30 of about 1,171 (115)
Multiplicative inequalities for weighted arithmetic and harmonic operator means
Acta Universitatis Sapientiae: Mathematica, 2019 In this paper we establish some multiplicative inequalities for weighted arithmetic and harmonic operator means under various assumption for the positive invertible operators A, B.
Dragomir Sever S.
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Structure of the antieigenvectors of a strictly accretive operator
International Journal of Mathematics and Mathematical Sciences, Volume 21, Issue 4, Page 761-766, 1998., 1997 A necessary and sufficient condition that a vector f is an antieigenvector of a strictly accretive operator A is obtained. The structure of antieigenvectors of selfadjoint and certain class of normal operators is also found in terms of eigenvectors. The Kantorovich inequality for selfadjoint operators and the Davis′s inequality for normal operators are
K. C. Das, M. Das Gupta, K. Paul
wiley +1 more source
Trace inequalities of Shisha-Mond type for operators in Hilbert spaces
Concrete Operators, 2017 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.
Dragomir Sever Silvestru
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Trace inequalities on a generalized Wigner-Yanase skew information [PDF]
, 2009 We introduce a generalized Wigner-Yanase skew information and then derive the trace inequality related to the uncertainty relation. This inequality is a non-trivial generalization of the uncertainty relation derived by S.Luo for the quantum uncertainty ...
Furuichi, S., Kuriyama, K., Yanagi, K.
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On further refinements for Young inequalities
Open Mathematics, 2018 In this paper sharp results on operator Young’s inequality are obtained. We first obtain sharp multiplicative refinements and reverses for the operator Young’s inequality.
Furuichi Shigeru, Moradi Hamid Reza
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On trace inequalities and their applications to noncommutative communication theory [PDF]
, 2004 Certain trace inequalities related to matrix logarithm are shown. These results enable us to give a partial answer of the open problem conjectured by A.S.Holevo. That is, concavity of the auxiliary function which appears in the random coding exponent
Furuichi, Shigeru +2 more
core +4 more sources
Classification of Noncommutative Domain Algebras [PDF]
, 2012 Noncommutative domain algebras are noncommutative analogues of the algebras of holomorphic functions on domains of $\C^n$ defined by holomorphic polynomials, and they generalize the noncommutative Hardy algebras. We present here a complete classification
Arias, Alvaro, Latremoliere, Frederic
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Generalized Shannon inequalities based on Tsallis relative operator entropy [PDF]
, 2005 Tsallis relative operator entropy is defined and then its properties are given. Shannon inequality and its reverse one in Hilbert space operators derived by T.Furuta \cite{Fu:par} are extended in terms of the parameter of the Tsallis relative operator ...
Furuichi, Shigeru +2 more
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, 2017 In this article we present refinements of Jensen’s inequality and its reversal for convex functions, by adding as many refining terms as we wish. Then as a standard application, we present several refinements and reverses of well known mean inequalities.
Mohammad Sababheh
semanticscholar +1 more source
Hardy-Hilbert's inequality and power inequalities for Berezin numbers of operators
, 2016 We give operator analogues of some classical inequalities, including Hardy and HardyHilbert type inequalities for numbers. We apply these operator forms of such inequalities for proving some power inequalities for the so-called Berezin number of self ...
M. Garayev, M. Gürdal, Arzu Okudan
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