Perturbation of Continuous Frames on Quaternionic Hilbert Spaces
Functional Analysis
2019-05-24 v1 Mathematical Physics
math.MP
Abstract
In this note, following the theory of discrete frame perturbations in a complex Hilbert space, we examine perturbation of rank continuous frame, rank continuous Bessel family and rank continuous Riesz family in a non-commutative setting, namely in a right quaternionic Hilbert space.
Keywords
Cite
@article{arxiv.1905.09393,
title = {Perturbation of Continuous Frames on Quaternionic Hilbert Spaces},
author = {M. Khokulan and K. Thirulogasanthar},
journal= {arXiv preprint arXiv:1905.09393},
year = {2019}
}
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18 pages