Sesquilinear functionals on matrix algebras with involution
Journal
Linear and Multilinear Algebra
Journal Volume
63
Journal Issue
7
Pages
1283-1293
Date Issued
2015
Author(s)
Abstract
Let be a division algebra finite-dimensional over its centre and let be an involution on the matrix algebra . Suppose that is of the second kind and . We study elementary operators in the context of closed prime algebras with involution and then characterize all sesquilinear functionals on in terms of reduced traces and a specific involution on elementary operators.
Type
journal article