S-Spectrum and the quaternionic Cayley transform of an operator
Mathematical Physics
2018-01-03 v2 math.MP
Abstract
In this paper we define the quaternionic Cayley transformation of a densely defined, symmetric, quaternionic right linear operator and formulate a general theory of defect number in a right quaternionic Hilbert space. This study investigates the relation between the defect number and S-spectrum, and the properties of the Cayley transform in the quaternionic setting.
Cite
@article{arxiv.1705.05240,
title = {S-Spectrum and the quaternionic Cayley transform of an operator},
author = {B. Muraleetharan and I. Sabadini and K. Thirulogasanthar},
journal= {arXiv preprint arXiv:1705.05240},
year = {2018}
}
Comments
arXiv admin note: text overlap with arXiv:1512.08662"