On a Novel Generalization of p-Quasi-λ-Nuclear Operators

Othman

doi:https://doi.org/10.54216/GJMSA.050202

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Volume 5 • Issue 2 • PP: 12-16 • 2023

On a Novel Generalization of p-Quasi-λ-Nuclear Operators

Othman Al-basheer ^1*

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¹Sudan University of Science and Technology, Faculty of Science, Khartoum, Sudan

* Corresponding Author.

DOI https://doi.org/10.54216/GJMSA.050202

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Received: December 13, 2022 Revised: April 10, 2023 Accepted: May 01, 2023

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Abstract

In this paper we generalize the concept of 2-quasi -- nuclear operators between Normed spaces to -quasi--nuclear operators between locally convex spaces and we study the relationship between p-quasi-- nuclear, nuclear operators, -nuclear, quasi-nuclear and quasi-- nuclear. Also, we prove that the composition of two operators, one of them is a -quasi--nuclear, is again a p-quasi--nuclear operator.

Keywords

Nuclear operators quasi nuclear operators normed spaces

References

[1] Jarchow, H. “Locally Convex Spaces”, B. G. Teubner Stuttgart, (1981).
[2] Pietsch, A. “Nuclear Locally Convex Spaces”, Akademic Verlin, Berlin, (1972).

[3] Randtke Dan: Characterization of Precompact Maps, Schwartz Spaces and Nuclear Spaces, Amer. Math. Soc. 165, 87-101 (1972).

[4] Rudin, W. “Real and Complex Analysis”, McGraw-Hill (1987).

[5] Shatanawi,W.: 2-Quasi-λ-Nuclear Maps, Turk.J.Math., 29, 157-167 (2005).

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Al-basheer, Othman. "On a Novel Generalization of p-Quasi-λ-Nuclear Operators." Galoitica: Journal of Mathematical Structures and Applications, vol. Volume 5, no. Issue 2, 2023, pp. 12-16. DOI: https://doi.org/10.54216/GJMSA.050202

Al-basheer, O. (2023). On a Novel Generalization of p-Quasi-λ-Nuclear Operators. Galoitica: Journal of Mathematical Structures and Applications, Volume 5(Issue 2), 12-16. DOI: https://doi.org/10.54216/GJMSA.050202

Al-basheer, Othman. "On a Novel Generalization of p-Quasi-λ-Nuclear Operators." Galoitica: Journal of Mathematical Structures and Applications Volume 5, no. Issue 2 (2023): 12-16. DOI: https://doi.org/10.54216/GJMSA.050202

Al-basheer, O. (2023) 'On a Novel Generalization of p-Quasi-λ-Nuclear Operators', Galoitica: Journal of Mathematical Structures and Applications, Volume 5(Issue 2), pp. 12-16. DOI: https://doi.org/10.54216/GJMSA.050202

Al-basheer O. On a Novel Generalization of p-Quasi-λ-Nuclear Operators. Galoitica: Journal of Mathematical Structures and Applications. 2023;Volume 5(Issue 2):12-16. DOI: https://doi.org/10.54216/GJMSA.050202

O. Al-basheer, "On a Novel Generalization of p-Quasi-λ-Nuclear Operators," Galoitica: Journal of Mathematical Structures and Applications, vol. Volume 5, no. Issue 2, pp. 12-16, 2023. DOI: https://doi.org/10.54216/GJMSA.050202

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