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Information Journal Paper

Title

LINEAR PRESERVERS OF MAJORIZATION

Pages

  43-50

Abstract

 For vectors X, Y ϵ Rn, we say X is left matrix majorized by Y and write X<eY if for some ROW STOCHASTIC MATRIX R, X=RY. Also, we write X~eY, when X<eY<eX. A linear operator T: Rp®Rn is said to be a linear preserver of a given relation<if X<Y on Rp implies that TX<TY on Rn. In this note we study LINEAR PRESERVERS of ~e from Rp to Rn. In particular, we characterize all LINEAR PRESERVERS of ~e from R2 to Rn, and also, all LINEAR PRESERVERS of ~e from Rp to Rp.

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    APA: Copy

    KHALOOEI, FATEMEH, & SALEMI, ABBAS. (2011). LINEAR PRESERVERS OF MAJORIZATION. IRANIAN JOURNAL OF MATHEMATICAL SCIENCES AND INFORMATICS (IJMSI), 6(2), 43-50. SID. https://sid.ir/paper/310324/en

    Vancouver: Copy

    KHALOOEI FATEMEH, SALEMI ABBAS. LINEAR PRESERVERS OF MAJORIZATION. IRANIAN JOURNAL OF MATHEMATICAL SCIENCES AND INFORMATICS (IJMSI)[Internet]. 2011;6(2):43-50. Available from: https://sid.ir/paper/310324/en

    IEEE: Copy

    FATEMEH KHALOOEI, and ABBAS SALEMI, “LINEAR PRESERVERS OF MAJORIZATION,” IRANIAN JOURNAL OF MATHEMATICAL SCIENCES AND INFORMATICS (IJMSI), vol. 6, no. 2, pp. 43–50, 2011, [Online]. Available: https://sid.ir/paper/310324/en

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