Perturbation of Continuous Frames on Quaternionic Hilbert Spaces

Abstract

In this note, following the theory of discrete frame perturbations in a complex Hilbert space, we examine perturbation of rank $n$ continuous frame, rank $n$ continuous Bessel family and rank $n$ continuous Riesz family in a non-commutative setting, namely in a right quaternionic Hilbert space.

arXiv comment18 pages

References in corpus (4)

• Fredholm operators and essential S-spectrum in the quaternionic setting
• Regular subspaces of a quaternionic Hilbert space from quaternionic Hermite polynomials and associated coherent states
• S-spectrum and Associated Continuous Frames on Quaternionic Hilbert Spaces
• Frames in Quaternionic Hilbert Spaces