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Perturbation of Continuous Frames on Quaternionic Hilbert Spaces

2019/05/21 by M. Khokulan, Khokulan, M., K. Thirulogasanthar +1
Mathematics · #42C15 #Advanced Algebra and Geometry #Algebraic and Geometric Analysis #FOS: Mathematics #FOS: Physical sciences #Functional Analysis (math.FA) #Mathematical Analysis and Transform Methods #Mathematical Physics (math-ph) #Primary 42C40

paper · pdf · doi:10.48550/arxiv.1905.09393

openalex publication_date 2019/05/21 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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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