Tensor product for g-fusion frame in hilbert $C^{\ast}-$modules
DOI:
https://doi.org/10.20956/j.v20i1.26675Keywords:
G-fusion Frame, tensor product, Hilbert $C^{\ast}-$moduleAbstract
In this paper, we stady the tensor product of $g-$fusion frame in Hilbert $C^{\ast}-$modules and we give the frame operator for a pair of $g-$fusion bessel sequences in tensor product of Hilbert $C^{\ast}-$modules.
References
Alijani A, Dehghan M, 2011. -Frames in Hilbert C-modules, Politehn. Univ. Bucharest Sci. Bull. Ser. A
Appl. Math. Phys. 73, no. 4, 89{106.
Arambasic L, 2007. On frames for countably generated Hilbert C-modules, Proc. Am. Math. Soc. 135,
{478.
Conway J. B, 2000. A Course In Operator Theory, Am. Math. Soc., Providence, RI.
Davidson F. R, 1996. C-Algebra by Example, Fields Inst. Monog. 6, Am. Math. Soc., Providence, RI.
Dun R. J, Schae er A. C, 1952. A class of nonharmonic fourier series, Trans. Am. Math. Soc. 72, 341{366.
Gabor D, 1946. Theory of communications, J. Elect. Eng. 93 (1946), 429{457.
Kabbaj S, Rossa M, 2018. -operator Frame for End
A(H), Wavelet Linear Algebra, 5, (2), 1-13.
Kaplansky I, 1953. Modules over operator algebras, Am. J. Math. 75, 839{858.
Khorsavi A, Khorsavi B, 2008. Fusion frames and g-frames in Hilbert C-modules, Int. J. Wavelet, Mul-
tiresolution and Information Processing 6, 433-446.
Lance E. C, 1995. Hilbert C-Modules: A Toolkit for Operator Algebraists, London Math. Soc. Lecture
Note Ser., vol. 210, Cambridge Univ. Press.
Rossa M, Kabbaj S, 2020. -K-operator Frame for End
A(H), Asian-Eur. J. Math. 13, 2050060.
Rossa M, Kabbaj S, 2019. Operator frame for End
A(H), J. Linear Topol. Algebra, 8, 85-95.
Rossa M, Kabbaj S, 2018. -K-g-frames in Hilbert A-modules, J. Linear Topol. Algebra, 7, 63-71.
Rossa M, Kabbaj S, 2018. -g-frames in tensor products of Hilbert C-modules, Ann. Univ. Paedagog.
Crac. Stud. Math. 17, 17-25.
Rossa M, Kabbaj S, 2022. Generalized frames for B(H;K), Iran. J. Math. Sci. Inf. 17, no. 1, 1{9.
Downloads
Published
Issue
Section
License
Copyright (c) 2023 Author and publisher
This work is licensed under a Creative Commons Attribution 4.0 International License.
This work is licensed under a Creative Commons Attribution 4.0 International License.
Jurnal Matematika, Statistika dan Komputasi is an Open Access journal, all articles are distributed under the terms of the Creative Commons Attribution License, allowing third parties to copy and redistribute the material in any medium or format, transform, and build upon the material, provided the original work is properly cited and states its license. This license allows authors and readers to use all articles, data sets, graphics and appendices in data mining applications, search engines, web sites, blogs and other platforms by providing appropriate reference.