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Information Seminar Paper

Title

JORDAN PRODUCT AND OPERATOR MONOTONE FUNCTIONS

Pages

  -

Abstract

 WE SHOW THAT THE SYMMETRIZED PRODUCT AB+BA OF TWO POSITIVE OPERATORS A AND B IS POSITIVE IF AND ONLY IF F(A+B) £ F(A)+F(B) FOR ALL NON-NEGATIVE OPERATOR MONOTONE FUNCTIONS F ON [0,¥) AND DEDUCE AN OPERATOR INEQUALITY. WE ALSO GIVE A NECESSARY AND SUFFICIENT CONDITION FOR THAT THE COMPOSITION F ° G OF AN OPERATOR CONVEX FUNCTION F ON [0,¥) AND A NON-NEGATIVE OPERATOR MONOTONE FUNCTION G ON AN INTERVAL (A, B) IS OPERATOR MONOTONE AND GIVE SOME APPLICATIONS.

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    APA: Copy

    NAJAFI, HAMED. (2012). JORDAN PRODUCT AND OPERATOR MONOTONE FUNCTIONS. ANNUAL IRANIAN MATHEMATICS CONFERENCE. SID. https://sid.ir/paper/925948/en

    Vancouver: Copy

    NAJAFI HAMED. JORDAN PRODUCT AND OPERATOR MONOTONE FUNCTIONS. 2012. Available from: https://sid.ir/paper/925948/en

    IEEE: Copy

    HAMED NAJAFI, “JORDAN PRODUCT AND OPERATOR MONOTONE FUNCTIONS,” presented at the ANNUAL IRANIAN MATHEMATICS CONFERENCE. 2012, [Online]. Available: https://sid.ir/paper/925948/en

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