Inner product spaces and Krein spaces in the quaternionic setting
Functional Analysis
2013-08-20 v2
Abstract
In this paper we provide a study of quaternionic inner product spaces. This includes ortho-complemented subspaces, fundamental decompositions as well as a number of results of topological nature. Our main purpose is to show that a uniformly positive subspace in a quaternionic Krein space is ortho-complemented, and this leads to our choice of the results presented in the paper.
Keywords
Cite
@article{arxiv.1303.1076,
title = {Inner product spaces and Krein spaces in the quaternionic setting},
author = {Daniel Alpay and Fabrizio Colombo and Irene Sabadini},
journal= {arXiv preprint arXiv:1303.1076},
year = {2013}
}