A trace inequality with a subtracted term
- H. Miranda www@math.ucsb.edu
- Robert C. Thompson www@math.ucsb.edu
Downloads
Abstract
For fixed real or complex matrices A and B, the well known von Neumann trace inequality identifies the maximum of ⎸tr(U AV B) ⎸, as U and V range over the unitary group, the maximum being a bilinear expression in the singular values of A y B. This paper establishes the analogue of this inequality for real matrices A and B when U and V range over the proper (real) orthogonal group. The maximum is again a bilinear expression in the singular values but there is a subtracted term when A and B have determinants of opposite sign.
Downloads
Download data is not yet available.
Published
1992-12-01
How to Cite
[1]
H. Miranda and R. C. Thompson, “A trace inequality with a subtracted term”, CUBO, no. 8, pp. 91–97, Dec. 1992.
Issue
Section
Articles