ON SOME LINEAR OPERATORS PRESERVING LEFT MATRIX MAJORIZATION

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KHALOOEI FATEMEH; TORABIAN PARISA

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Seminar Paper

Paper Information

Seminar: ANNUAL IRANIAN MATHEMATICS CONFERENCE
Year:2013 | Issue:44

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Title

ON SOME LINEAR OPERATORS PRESERVING LEFT MATRIX MAJORIZATION

Author(s)

KHALOOEI FATEMEH | TORABIAN PARISA | Issue Writer Certificate

Keywords

LINEAR PRESERVERS

ROW STOCHASTIC MATRIX

MATRIX MAJORIZATION

Abstract

FOR A, B Î MNM, WE SAY A IS LEFT MATRIX MAJORIZED BY B AND WRITE (FORMULA) FOR SOME ROW STOCHASTIC MATRIX R. A LINEAR OPERATOR T: MNM® MNM IS SAID TO BE A LINEAR PRESERVER OF (FORMULA) IMPLIES THAT TA<L TB: LINEAR PRESERVERS OF -ℓ ARE CHARACTERIZED. HERE, WE EXTEND THE RESULT TO THE CASE T IS A LINEAR OPERATOR FROM MNM TO MNQ, WHERE M AND Q ARE NOT NECESSARILY IDENTICAL.

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APA: Copy

KHALOOEI, FATEMEH, & TORABIAN, PARISA. (2013). ON SOME LINEAR OPERATORS PRESERVING LEFT MATRIX MAJORIZATION. ANNUAL IRANIAN MATHEMATICS CONFERENCE. SID. https://sid.ir/paper/923948/en

Vancouver: Copy

KHALOOEI FATEMEH, TORABIAN PARISA. ON SOME LINEAR OPERATORS PRESERVING LEFT MATRIX MAJORIZATION. 2013. Available from: https://sid.ir/paper/923948/en

IEEE: Copy

FATEMEH KHALOOEI, and PARISA TORABIAN, “ON SOME LINEAR OPERATORS PRESERVING LEFT MATRIX MAJORIZATION,” presented at the ANNUAL IRANIAN MATHEMATICS CONFERENCE. 2013, [Online]. Available: https://sid.ir/paper/923948/en

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