Operators on positive semidefinite inner product spaces
Representation Theory
2020-12-29 v1
Abstract
We give canonical forms of selfadjoint and isometric operators on a complex vector space with scalar product given by a positive semidefinite Hermitian form, and of Hermitian forms on . For an arbitrary system of semiunitary spaces and linear mappings on/between them, we give an algorithm that reduces their matrices to canonical form.
Cite
@article{arxiv.2003.06919,
title = {Operators on positive semidefinite inner product spaces},
author = {Victor A. Bovdi and Tetiana Klymchuk and Tetiana Rybalkina and Mohamed A. Salim and Vladimir V. Sergeichuk},
journal= {arXiv preprint arXiv:2003.06919},
year = {2020}
}
Comments
28 pages