@inbook{6cf6c2ecbb184b35980507b9220802f4,
title = "Inner product spaces and krein spaces in the quaternionic setting",
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 closed 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 = "Inner product spaces, Krein spaces, Quaternionic functional analysis, Quaternionic topological vector spaces",
author = "Daniel Alpay and Fabrizio Colombo and Irene Sabadini",
note = "Publisher Copyright: {\textcopyright} 2015 Springer International Publishing Switzerland.",
year = "2015",
month = jan,
day = "1",
doi = "10.1007/978-3-319-10335-8\_4",
language = "English",
series = "Operator Theory: Advances and Applications",
publisher = "Springer International Publishing",
pages = "33--65",
booktitle = "Operator Theory",
}