Some New Results of Weaving K-Frames in Hilbert Spaces

ZQ Xiang - Numerical Functional Analysis and Optimization, 2021 - Taylor & Francis
In this article, we first provide some sufficient conditions, and necessary and sufficient
conditions for K-woven frames to be preserved under a bounded linear operator and …

On K-duality and redundancy of K-g-frames

ZQ Xiang - Ricerche di Matematica, 2024 - Springer
In this paper, we give some necessary and sufficient conditions for a family of linear
bounded operators to be a dual Kg-Bessel sequence of a given Kg-frame and, particularly …

Some Properties of Canonical Dual K‐Bessel Sequences for Parseval K‐Frames

ZQ Xiang - Journal of Function Spaces, 2019 - Wiley Online Library
The concept of canonical dual K‐Bessel sequences was recently introduced, a deep study
of which is helpful in further developing and enriching the duality theory of K‐frames. In this …

On K-woven frames in Hilbert -modules

ZQ Xiang, YX Chen - Journal of Pseudo-Differential Operators and …, 2022 - Springer
In this paper, the K-woven frames in Hilbert C∗-modules are introduced, and several
approaches to the construction of them are presented. Meanwhile, the weaving properties of …

Some new results on the construction and stability of -g-frames in Hilbert spaces

ZQ Xiang - International Journal of Wavelets, Multiresolution and …, 2020 - World Scientific
Some new results on the construction and stability of -g-frames in Hilbert spaces Page 1
International Journal of Wavelets, Multiresolution and Information Processing Vol. 18, No. 5 (2020) …

Norm Retrievable Wavelet Systems

MS Aghaei… - … in Mathematical Analysis, 2024 - scma.maragheh.ac.ir
This paper focuses on the norm retrieval problem for wavelet transform. The wavelet
transform associated with an admissible wavelet is norm retrieval. However, this problem is …

Duality of Continuous Kg-Frames

A Razghandi, AA Arefijamaal - Sahand Communications in …, 2023 - scma.maragheh.ac.ir
Kg-frames, as an extension of g-frames and K-frames are one of the active fields in frame
theory. In this paper, we consider continuous Kg-frames which are a generalization of …

On K-frame generators for unitary systems in Hilbert -modules

ZQ Xiang - Journal of Pseudo-Differential Operators and …, 2021 - Springer
In this paper, we first provide an necessary and sufficient condition for vectors to be K-frame
generators for unitary systems in Hilbert C^* C∗-modules. We then characterize the K-dual …

Some new results on the weaving of K-g-frames in Hilbert spaces

ZQ Xiang - Open Mathematics, 2021 - degruyter.com
In this paper, we provide some conditions for a K-woven pair of Kg-frames to be preserved
under an operator and particularly, we report that applying two different operators to a K …

Approximative K-atomic decompositions and frames in Banach spaces

S Jahan - Arab Journal of Mathematical Sciences, 2020 - emerald.com
L. Gǎvruţa (2012) introduced a special kind of frames, named K-frames, where K is an
operator, in Hilbert spaces, which is significant in frame theory and has many applications. In …