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Information Journal Paper

Title

LINEAR FUNCTIONS PRESERVING SUT-MAJORIZATION ON RN

Pages

  111-118

Keywords

(STRONG) LINEAR PRESERVER 

Abstract

 Suppose Mn is the vector space of all n-by-n real matrices, and let Rn be the set of all n-by-1 real vectors. A matrix RÎMn is said to be row substochastic if it has nonnegative entries and each row sum is at most 1. For x, y Î Rn, it is said that x is sut-majorized by y (denoted by x <sut y) if there exists an n-by-n upper triangular ROW SUBSTOCHASTIC MATRIX R such that x = Ry. In this note, we  characterize the linear functions T: Rn ® Rn preserving (resp. strongly preserving) <sut with additional condition Te1 ¹ 0 (resp. no additional conditions).

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    Cite

    APA: Copy

    ILKHANIZADEH MANESH, ASMA. (2016). LINEAR FUNCTIONS PRESERVING SUT-MAJORIZATION ON RN. IRANIAN JOURNAL OF MATHEMATICAL SCIENCES AND INFORMATICS (IJMSI), 11(2), 111-118. SID. https://sid.ir/paper/310422/en

    Vancouver: Copy

    ILKHANIZADEH MANESH ASMA. LINEAR FUNCTIONS PRESERVING SUT-MAJORIZATION ON RN. IRANIAN JOURNAL OF MATHEMATICAL SCIENCES AND INFORMATICS (IJMSI)[Internet]. 2016;11(2):111-118. Available from: https://sid.ir/paper/310422/en

    IEEE: Copy

    ASMA ILKHANIZADEH MANESH, “LINEAR FUNCTIONS PRESERVING SUT-MAJORIZATION ON RN,” IRANIAN JOURNAL OF MATHEMATICAL SCIENCES AND INFORMATICS (IJMSI), vol. 11, no. 2, pp. 111–118, 2016, [Online]. Available: https://sid.ir/paper/310422/en

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