Linear rank one preservers between spaces of matrices with zero trace

0Citations
Citations of this article
4Readers
Mendeley users who have this article in their library.
Get full text

Abstract

Let X, Y be a pair of vector spaces over a field F associated with a bilinear form (,) such that (x, y) = 0 for all y in Y, implies that x = 0. Let (X ⊗ Y)0be the subspace of X ⊗ Y spanned by all decomposable elements x ⊗ y with (x, y) = 0. Let U, V be any two vector spaces over F. In this note, we study linear mappings from (X ⊗ Y)0to U ⊗ V that send nonzero decomposable elements to nonzero decomposable elements and some of its consequences. © 2009 Elsevier Inc. All rights reserved.

Cite

CITATION STYLE

APA

Lim, M. H. (2009). Linear rank one preservers between spaces of matrices with zero trace. Linear Algebra and Its Applications, 430(11–12), 2982–2996. https://doi.org/10.1016/j.laa.2009.01.012

Register to see more suggestions

Mendeley helps you to discover research relevant for your work.

Already have an account?

Save time finding and organizing research with Mendeley

Sign up for free