Isotropic subspaces for pairs of Hermitian matrices

Leiba Rodman

doi:10.13001/1081-3810.1280

PDF

Published: Jan 1, 2008

DOI: https://doi.org/10.13001/1081-3810.1280

Keywords:

Neutral subspace, Isotropic subspace, Hermitian matrices

Leiba X. Rodman

Abstract

The maximal dimension of a subspace which is neutral with respect to two hermitian matrices simultaneously, is identified (in many cases) in terms of inertia of linear combinations of the matrices.

Issue

Vol. 17 (2008)

Section

Article

Most read articles by the same author(s)

Christian Mehl, Andre C. M. Ran, Leiba Rodman, Hyponormal matrices and semidefinite invariant subspaces in indefinite inner products , The Electronic Journal of Linear Algebra: Vol. 11 (2004)
Vladimir Bolotnikov, Chi-Kwong Li, Patrick R. Meade, Christian Mehl, Leiba Rodman, Shells of matrices in indefinite inner product spaces , The Electronic Journal of Linear Algebra: Vol. 9 (2002)
Robert M. Guralnick, Chi-Kwong Li, Leiba X. Rodman, Multiplicative maps on invertible matrices that preserve matricial properties , The Electronic Journal of Linear Algebra: Vol. 10 (2003)
Leiba X. Rodman, Ilya M. Spitkovsky, Analytic roots of invertible matrix functions , The Electronic Journal of Linear Algebra: Vol. 13 (2005)
Leiba Rodman, Invariant neutral subspaces for Hamiltonian matrices , The Electronic Journal of Linear Algebra: Vol. 27 (2014)
Bojan Kuzma, Gorazd Lesnjak, Chi-Kwong Li, Tatjana Petek, Leiba Rodman, Norm preservers of Jordan products , The Electronic Journal of Linear Algebra: Vol. 22 (2011)
Leiba Rodman, Hermitian octonion matrices and numerical ranges , The Electronic Journal of Linear Algebra: Vol. 27 (2014)
Chi-Kwong Li, Leiba Rodman, Shapes and computer generation of numerical ranges of Krein space operators , The Electronic Journal of Linear Algebra: Vol. 3 (1998)
Bojan Kuzma, Chi-Kwong Li, Leiba Rodman, Tracial numerical ranges and linear dependence of operators , The Electronic Journal of Linear Algebra: Vol. 22 (2011)
Andre C. M. Ran, Leiba X. Rodman, Ranges of Sylvester maps and a minimal rank problem , The Electronic Journal of Linear Algebra: Vol. 20 (2010)

1 2 > >>

Article Sidebar

Main Article Content

Abstract

Article Details

Most read articles by the same author(s)