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Information Journal Paper

Title

REVERSES OF THE GOLDEN–THOMPSON TYPE INEQUALITIES DUE TO ANDO-HIAI-PETZ

Author(s)

 SEO Y. | Issue Writer Certificate 

Pages

  140-149

Abstract

 In this paper, we show reverses of the Golden–Thompson type inequalities due to Ando, Hiai and Petz: Let H and K be Hermitian matrices such that mI £ H, K£MI for some scalars m£M, and let a Î [0, 1]. Then for every unitarily invarint norm |||e(1−a)H+aK||| £S(ep(M−m)) 1/p||| (epH #a pK)1/p|||holds for all p > 0 and the right-hand side converges to the left-hand side as p ¯ 0, where S(a) is the SPECHT RATIO and the a-geometric mean X #a Y is defined as X #a Y= X1/2 (X-1/2 YX-1/2) X1/2        for all 0£a£1 for positive definite X and Y.

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    • Cite

    APA: Copy

    SEO, Y.. (2008). REVERSES OF THE GOLDEN–THOMPSON TYPE INEQUALITIES DUE TO ANDO-HIAI-PETZ. BANACH JOURNAL OF MATHEMATICAL ANALYSIS, 2(2), 140-149. SID. https://sid.ir/paper/316865/en

    Vancouver: Copy

    SEO Y.. REVERSES OF THE GOLDEN–THOMPSON TYPE INEQUALITIES DUE TO ANDO-HIAI-PETZ. BANACH JOURNAL OF MATHEMATICAL ANALYSIS[Internet]. 2008;2(2):140-149. Available from: https://sid.ir/paper/316865/en

    IEEE: Copy

    Y. SEO, “REVERSES OF THE GOLDEN–THOMPSON TYPE INEQUALITIES DUE TO ANDO-HIAI-PETZ,” BANACH JOURNAL OF MATHEMATICAL ANALYSIS, vol. 2, no. 2, pp. 140–149, 2008, [Online]. Available: https://sid.ir/paper/316865/en

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    مرکز اطلاعات علمی Scientific Information Database (SID) - Trusted Source for Research and Academic Resources
    مرکز اطلاعات علمی Scientific Information Database (SID) - Trusted Source for Research and Academic Resources
    مرکز اطلاعات علمی Scientific Information Database (SID) - Trusted Source for Research and Academic Resources
    مرکز اطلاعات علمی Scientific Information Database (SID) - Trusted Source for Research and Academic Resources
    مرکز اطلاعات علمی Scientific Information Database (SID) - Trusted Source for Research and Academic Resources
    مرکز اطلاعات علمی Scientific Information Database (SID) - Trusted Source for Research and Academic Resources
    مرکز اطلاعات علمی Scientific Information Database (SID) - Trusted Source for Research and Academic Resources
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