LINEAR PRESERVING GD-MAJORIZATION FUNCTIONS FROM MN,M TO MN,K

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ARMANDNEJAD A.; HEYDARI H.

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Paper Information

Journal: BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY Year:2011 | Volume:37 | Issue:1 Page(s): 215-224

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Title

LINEAR PRESERVING GD-MAJORIZATION FUNCTIONS FROM MN,M TO MN,K

Author(s)

ARMANDNEJAD A. | HEYDARI H. | Issue Writer Certificate

Keywords

DOUBLY STOCHASTIC MATRIX

G-DOUBLY STOCHASTIC MATRIX

GIRECTIONAL MAJORIZATION

GD-MAJORIZATION

LINEAR PRESERVER

Abstract

Let M n,m be the vector space of all n×m real matrices. For A, B Î M n, m, it is said that B is gd-majorized by A (written A>gd B) if for every xÎ Rn there exists a g-DOUBLY STOCHASTIC MATRIX Dx such that Bx=Dx (Ax). Here, we show that if A>gb B, then there exists a g-DOUBLY STOCHASTIC MATRIX D (independent of x) such that B=DA. Also, the possible structures of linear preserving GD-MAJORIZATION functions from M n, m to Mn, k are found. Finally, all linear strongly preserving GD-MAJORIZATION functions from Mn, m to M n, k are characterized.

Cites

BLOCK DIAGONAL MAJORIZATION ON C0

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APA: Copy

ARMANDNEJAD, A., & HEYDARI, H.. (2011). LINEAR PRESERVING GD-MAJORIZATION FUNCTIONS FROM M_N,M TO M_N,K. BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY, 37(1), 215-224. SID. https://sid.ir/paper/572419/en

Vancouver: Copy

ARMANDNEJAD A., HEYDARI H.. LINEAR PRESERVING GD-MAJORIZATION FUNCTIONS FROM M_N,M TO M_N,K. BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY[Internet]. 2011;37(1):215-224. Available from: https://sid.ir/paper/572419/en

IEEE: Copy

A. ARMANDNEJAD, and H. HEYDARI, “LINEAR PRESERVING GD-MAJORIZATION FUNCTIONS FROM M_N,M TO M_N,K,” BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY, vol. 37, no. 1, pp. 215–224, 2011, [Online]. Available: https://sid.ir/paper/572419/en

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