paper

S-Spectrum and the quaternionic Cayley transform of an operator

arXiv:1705.05240 · doi:10.1016/j.geomphys.2017.12.001

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.

arXiv admin note: text overlap with arXiv:1512.08662"

S-Spectrum and the quaternionic Cayley transform of an operator · wovepaper