## Rocky Mountain Journal of Mathematics

### Some constructions of $K$-frames and their duals

#### Abstract

$K$-frames, as a new generalization of frames, have important applications, especially in sampling theory, to help us to reconstruct elements from a range of a bounded linear operator $K$ in a separable Hilbert space. In this paper, we focus on the reconstruction formulae to characterize all $K$-duals of a given $K$-frame. Also, we give several approaches for constructing $K$-frames.

#### Article information

Source
Rocky Mountain J. Math., Volume 47, Number 6 (2017), 1749-1764.

Dates
First available in Project Euclid: 21 November 2017

https://projecteuclid.org/euclid.rmjm/1511254951

Digital Object Identifier
doi:10.1216/RMJ-2017-47-6-1749

Mathematical Reviews number (MathSciNet)
MR3725243

Zentralblatt MATH identifier
1384.42024

#### Citation

Neyshaburi, Fahimeh Arabyani; Arefijamaal, Ali Akbar. Some constructions of $K$-frames and their duals. Rocky Mountain J. Math. 47 (2017), no. 6, 1749--1764. doi:10.1216/RMJ-2017-47-6-1749. https://projecteuclid.org/euclid.rmjm/1511254951

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