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Some new trace inequalities for convex functions of selfadjoint operators in Hilbert spaces are provided. The superadditivity and monotonicity of some associated functionals are investigated. Some trace inequalities for matrices are also derived. Examples for the operator power and logarithm are presented as well.
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참고문헌 (47)
참고문헌 신청
T. Ando / 1995 / Matrix Young inequalities / Oper. Theory Adv. Appl 75:33~38
R. Bellman / 1980 / Some inequalities for positive definite matrices / General Inequalities 2, Proceedings of the 2nd International Conference on General Inequalities :89~90
E. V. Belmega / 2010 / A generalization of a trace inequality for positive definite matrices / Aust. J. Math. Anal. Appl 7(26):5
E. A. Carlen / 2010 / Entropy and the quantum / Amer. Math. Soc :73~140
D. Chang / 1999 / A matrix trace inequality for products of Hermitian matrices / J. Math. Anal. Appl 237:721~725
R. Bellman / 1980 / Some inequalities for positive definite matrices / General Inequalities 2, Proceedings of the 2nd International Conference on General Inequalities :89~90
E. V. Belmega / 2010 / A generalization of a trace inequality for positive definite matrices / Aust. J. Math. Anal. Appl 7(26):5
E. A. Carlen / 2010 / Entropy and the quantum / Amer. Math. Soc :73~140
D. Chang / 1999 / A matrix trace inequality for products of Hermitian matrices / J. Math. Anal. Appl 237:721~725
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