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.
CITATION STYLE
Alpay, D., Colombo, F., & Sabadini, I. (2015). Inner product spaces and krein spaces in the quaternionic setting. In Operator Theory: Advances and Applications (Vol. 244, pp. 33–65). Springer International Publishing. https://doi.org/10.1007/978-3-319-10335-8_4
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