S-spectrum and Associated Continuous Frames on Quaternionic Hilbert Spaces
Mathematical Physics
2015-07-03 v2 math.MP
Abstract
As needed for the construction of rank continuous frames on a right quaternionic Hilbert space the so-called S-spectrum of a right quaternionic operator is studied. Using the S-spectrum, as for the case of complex Hilbert spaces, along the lines of the arguments of {\em Ann.Phys.}, {\bf 222} (1993), 1-37., various classes of rank continuous frames and their equivalencies on a right quaternionic Hilbert space are presented.
Cite
@article{arxiv.1503.05385,
title = {S-spectrum and Associated Continuous Frames on Quaternionic Hilbert Spaces},
author = {M. Khokulan and K. Thirulogasanthar and B. Muraleetharan},
journal= {arXiv preprint arXiv:1503.05385},
year = {2015}
}
Comments
21 pages