example of linear involution

Let V be the vector spaceMathworldPlanetmath of m×n complex matrices. Then the operator L:AAH, which takes a matrix AV into its Hermitian conjugate AHV is an involutionPlanetmathPlanetmathPlanetmath. The projection operators induced by this involution decompose a matrix into a direct sum of Hermitian and skew-Hermitian matrices.

Title example of linear involution
Canonical name ExampleOfLinearInvolution
Date of creation 2013-03-22 14:14:11
Last modified on 2013-03-22 14:14:11
Owner mathcam (2727)
Last modified by mathcam (2727)
Numerical id 8
Author mathcam (2727)
Entry type Example
Classification msc 15A21
Related topic BanachAlgebra