On the model of a skew--selfadjoint operator with a simple spectrum on a Hilbert quaternion module
Functional Analysis
2010-06-30 v1
Abstract
In this work we construct the model of a skew--selfadjoint operator with a simple spectrum acting on a Hilbert quaternion bimodule. This result is based on the Spectral Theorem for a skew--selfadjoint operator.
Keywords
Cite
@article{arxiv.1006.5542,
title = {On the model of a skew--selfadjoint operator with a simple spectrum on a Hilbert quaternion module},
author = {Dmitry Tyshkevich and Irina Karpenko},
journal= {arXiv preprint arXiv:1006.5542},
year = {2010}
}
Comments
9 pages; extended report, the International Conference "Infinite Dimensional Analysis and Topology" May 27 - June 1, 2009, Ivano-Frankivsk, Ukraine