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arxiv: 1905.09393 · v1 · pith:2IUKNVZYnew · submitted 2019-05-21 · 🧮 math.FA · math-ph· math.MP

Perturbation of Continuous Frames on Quaternionic Hilbert Spaces

classification 🧮 math.FA math-phmath.MP
keywords continuoushilbertrankfamilyframeperturbationquaternionicspace
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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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