FUNDAMENTALNAYA I PRIKLADNAYA MATEMATIKA

(FUNDAMENTAL AND APPLIED MATHEMATICS)

2007, VOLUME 13, NUMBER 4, PAGES 53-66

Linear matrix transformations that are monotone with respect to the $ \overset {\sharp }{\leq } $- or $ \overset {\textrm {cn}}{\leq } $-order

M. A. Efimov

Abstract

View as HTML     View as gif image

We characterize linear transformations on the matrix algebra over an arbitrary field with characteristic not equal to 2 that are monotone with respect to the $ \overset {\sharp }{\leq } $- or $ \overset {\mathrm {cn}}{\leq } $-order.

Main page Contents of the journal News Search

Location: http://mech.math.msu.su/~fpm/eng/k07/k074/k07403h.htm
Last modified: November 28, 2007