JP Journal of Algebra, Number Theory and Applications
Volume 4, Issue 3, Pages 549 - 558
(December 2004)
|
|
ADDITIVE
RANK ONE PRESERVING OPERATORS ON FULL MATRIX
ALGEBRAS
Xian Zhang (P. R. China) and Chong-Guang Cao (P. R. China)
|
Abstract: Suppose n is a
positive integer and F is a field that
is not isomorphic to a proper subfield of
itself. Let
be the
full matrix algebra over F and let
be its subset consisting of all rank one
matrices. An operator
is said to be additive if
for any and
preserve rank one if
In this
article all additive rank one preserving
operators on
are characterized. |
Keywords and phrases: field, full matrix
algebra, rank one, additive operator. |
|
Number of Downloads: 12 | Number of Views: 1167 |
|