Tensor product for g-fusion frame in hilbert $C^{\ast}-$modules

Authors

  • fakhr-dine Nhari
  • Mohamed Rossafi Faculty of Sciences, Dhar El Mahraz University Sidi Mohamed Ben Abdellah, Fes,
  • Youssef Aribou

DOI:

https://doi.org/10.20956/j.v20i1.26675

Keywords:

G-fusion Frame, tensor product, Hilbert $C^{\ast}-$module

Abstract

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.

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Published

2023-09-06

How to Cite

Nhari, fakhr- dine, Rossafi, M., & Aribou, Y. (2023). Tensor product for g-fusion frame in hilbert $C^{\ast}-$modules. Jurnal Matematika, Statistika Dan Komputasi, 20(1), 136–151. https://doi.org/10.20956/j.v20i1.26675

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Research Articles

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