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Galoitica: Journal of Mathematical Structures and Applications
Volume 5 , Issue 2, PP: 12-16 , 2023 | Cite this article as | XML | Html |PDF

Title

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

  Othman Al-basheer 1 *

1  Sudan University of Science and Technology, Faculty of Science, Khartoum, Sudan
    (othmanzolbasheer@gmail.com)

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

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

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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MLA Othman Al-basheer. "On a Novel Generalization of p-Quasi-λ-Nuclear Operators." Galoitica: Journal of Mathematical Structures and Applications, Vol. 5, No. 2, 2023 ,PP. 12-16 (Doi   :  https://doi.org/10.54216/GJMSA.050202)
APA Othman Al-basheer. (2023). On a Novel Generalization of p-Quasi-λ-Nuclear Operators. Journal of Galoitica: Journal of Mathematical Structures and Applications, 5 ( 2 ), 12-16 (Doi   :  https://doi.org/10.54216/GJMSA.050202)
Chicago Othman Al-basheer. "On a Novel Generalization of p-Quasi-λ-Nuclear Operators." Journal of Galoitica: Journal of Mathematical Structures and Applications, 5 no. 2 (2023): 12-16 (Doi   :  https://doi.org/10.54216/GJMSA.050202)
Harvard Othman Al-basheer. (2023). On a Novel Generalization of p-Quasi-λ-Nuclear Operators. Journal of Galoitica: Journal of Mathematical Structures and Applications, 5 ( 2 ), 12-16 (Doi   :  https://doi.org/10.54216/GJMSA.050202)
Vancouver Othman Al-basheer. On a Novel Generalization of p-Quasi-λ-Nuclear Operators. Journal of Galoitica: Journal of Mathematical Structures and Applications, (2023); 5 ( 2 ): 12-16 (Doi   :  https://doi.org/10.54216/GJMSA.050202)
IEEE Othman Al-basheer, On a Novel Generalization of p-Quasi-λ-Nuclear Operators, Journal of Galoitica: Journal of Mathematical Structures and Applications, Vol. 5 , No. 2 , (2023) : 12-16 (Doi   :  https://doi.org/10.54216/GJMSA.050202)
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