Volume 5 • Issue 2 • PP: 12-16 • 2023
On a Novel Generalization of p-Quasi-λ-Nuclear Operators
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© 2023 The Author(s). Published by ASPG. This article is licensed under the Creative Commons Attribution 4.0 International License (CC BY 4.0).
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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.
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References
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[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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