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Perturbation of Continuous Frames on Quaternionic Hilbert Spaces (1905.09393v1)
Published 21 May 2019 in math.FA, math-ph, and math.MP
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.
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