On a J-polar decomposition of a bounded operator and matrix representations of J-symmetric, J-skew-symmetric operators

Details On a J-polar decomposition of a bounded operator and matrix representations of J-symmetric, J-skew-symmetric operators On a J-polar decomposition of a bounded operator and matrix representations of J-symmetric, J-skew-symmetric operators

2009-10-14

arxiv.org/abs/0910.2599v1

Mathematics

Functional Analysis

29 pages

Scientific paper

In this work a possibility of a decomposition of a bounded operator which acts in a Hilbert space $H$ as a product of a J-unitary and a J-self-adjoint operators is studied, $J$ is a conjugation (an antilinear involution). Decompositions of J-unitary and unitary operators which are analogous to decompositions in the finite-dimensional case are obtained. A possibility of a matrix representation for J-symmetric, J-skew-symmetric operators is studied. Also, some simple properties of J-symmetric, J-antisymmetric, J-isometric operators are obtained, a structure of a null set for a J-form is studied.

Affiliated with

Also associated with

No associations

Rating

On a J-polar decomposition of a bounded operator and matrix representations of J-symmetric, J-skew-symmetric operators does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with On a J-polar decomposition of a bounded operator and matrix representations of J-symmetric, J-skew-symmetric operators, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and On a J-polar decomposition of a bounded operator and matrix representations of J-symmetric, J-skew-symmetric operators will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-19059