Galoitica: Journal of Mathematical Structures and Applications
Journal DOI
2834-5568ISSN (Online)
Volume 5 , Issue 2 , PP: 12-16, 2023 | Cite this article as | XML | Html | PDF
Othman Al-basheer 1 *
Doi: https://doi.org/10.54216/GJMSA.050202
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.
Nuclear operators , quasi nuclear operators , normed spaces
[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).
