The structure of strong linear preservers of gw-majorization on $ \mathbf{M}_{{n,m}

Details The structure of strong linear preservers of gw-majorization on $ \mathbf{M}_{{n,m} The structure of strong linear preservers of gw-majorization on $ \mathbf{M}_{{n,m}

2008-07-31

arxiv.org/abs/0807.5094v1

Mathematics

Functional Analysis

7 pages

Scientific paper

Let M_{n,m} be the set of all n by m matrices with entries in F, where F is the field of real or complex numbers. A matrix R in M_{n} with the property Re=e, is said to be a g-row stochastic (generalized row stochastic) matrix. Let A,B in M_{n,m}, so B is said to be gw-majorized by A if there exists an n by n g-row stochastic matrix R such that B=RA. In this paper we characterize all linear operators that strongly preserve gw-majorization on M_{n,m} and all linear operators that strongly preserve matrix majorization on M_{n} .

Affiliated with

Also associated with

No associations

Rating

The structure of strong linear preservers of gw-majorization on $ \mathbf{M}_{{n,m} does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with The structure of strong linear preservers of gw-majorization on $ \mathbf{M}_{{n,m}, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and The structure of strong linear preservers of gw-majorization on $ \mathbf{M}_{{n,m} will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-364132