2018/05/04 by M. Khokulan, Khokulan, M., K. Thirulogasanthar +1
Mathematics · #42C15 #42C40 #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)
paper · pdf · doi:10.48550/arxiv.1805.01594
openalex publication_date 2018/05/04 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
In this note, following the complex theory, we examine discrete controlled frames, discrete weighted frames and frame multipliers in a non-commutative setting, namely in a left quaternionic Hilbert space. In particular, we show that the controlled frames are equivalent to usual frames under certain conditions. We also study connection between frame multipliers and weighted frames in the same Hilbert space.