New Results of K-g-Frames for Hilbert C∗-Modules
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Abstract
In this paper, we will probe into new constructions of K-g-frames for Hilbert C∗-module, and we characterize them through some properties of K-g-orthonormal bases. Finally, some results concerning the K-g-dual of a K-g-frame are obtained.
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References
- R.J. Duffin, A.C. Schaeffer, A Class of Nonharmonic Fourier Series, Trans. Am. Math. Soc. 72 (1952), 341–366. https://doi.org/10.1090/s0002-9947-1952-0047179-6.
- X. Fang, J. Yu, H. Yao, Solutions to Operator Equations on Hilbert $C^*$-Modules, Linear Algebr. Appl. 431 (2009), 2142–2153. https://doi.org/10.1016/j.laa.2009.07.009.
- H. Faraj, M. Derouich, M. Rossafi, Woven K-g-Frames in Hilbert $C^*$-Modules, J. Math. Comput. Sci. 12 (2022), 89. https://doi.org/10.28919/jmcs/6907.
- A. Khosravi, B. Khosravi, Frames and Bases in Tensor Products of Hilbert Spaces and Hilbert $C^*$-Modules, Proc. Math. Sci. 117 (2007), 1–12. https://doi.org/10.1007/s12044-007-0001-5.
- V. M. Manuĭlov, Hilbert $C^*$-Modules, American Mathematical Society, 2005.
- Z. XIANG, Y. LI, G-Frames for Operators in Hilbert $C^*$-Modules, Turk. J. Math. 40 (2016), 453–469. https://doi.org/10.3906/mat-1501-22.