FPM 2003, vol. 9, no. 3, pp. 3-11

FUNDAMENTALNAYA I PRIKLADNAYA MATEMATIKA

(FUNDAMENTAL AND APPLIED MATHEMATICS)

2003, VOLUME 9, NUMBER 3, PAGES 3-11

Invertibility of linear $f$ -order preservers

A. A. Alieva

Abstract

View as HTML View as gif image

In this paper, we prove that monotonic linear transformations with respect to partial orders $$
\stackrel {*}{<}_f $$ , $$ {*}{<}_f $$ , $$ {<}{*}_f
$$ , $$ \stackrel
{\diamond}{<}_f $$ , $$ \stackrel {\sigma}{<}_f
$$ and $$
\stackrel {\sigma_1}{<}_f $$ are invertible.

Main page

Contents of the journal

News

Location: http://mech.math.msu.su/~fpm/eng/k03/k033/k03301h.htm.
Last modified: January 24, 2005.

Invertibility of linear f-order preservers

Invertibility of linear $f$ -order preservers