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Full-Text Articles in Physical Sciences and Mathematics
Dual And Canonical Dual Of Controlled K-G-Frames In Hilbert Spaces, Hessam Hosseinnezhad
Dual And Canonical Dual Of Controlled K-G-Frames In Hilbert Spaces, Hessam Hosseinnezhad
Turkish Journal of Mathematics
This paper is devoted to studying the controlled dual K-g-Bessel sequences of controlled K-g-frames. In fact, we introduce the concept of dual K-g-Bessel sequences of controlled K-g-frames and then, we present some necessary and/or sufficient conditions under which a controlled g-Bessel sequence is a controlled dual K-g-frame of a given controlled K-g-frame. Subsequently, we pay attention to investigating the structure of the canonical controlled dual K-g-Bessel sequence of a Parseval controlled K-g-frame and some other related results.
Some Results Of K-Frames And Their Multipliers, Mitra Shamsabadi, Ali Akbar Arefijamaal
Some Results Of K-Frames And Their Multipliers, Mitra Shamsabadi, Ali Akbar Arefijamaal
Turkish Journal of Mathematics
K-frames are strong tools for the reconstruction of elements from range of a bounded linear operator K on a separable Hilbert space H. In this paper, we study some properties of K-frames and introduce the K-frame multipliers. We also focus on representing elements from the range of K by K-frame multipliers.