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On (r; t; s)-nuclear polynomials

Amar Bougoutaia

Amar Bougoutaia

Laboratory of Pure and Applied Mathematics (LPAM), University of LaghouatLaghouat, Algeria
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Bougoutaia, Amar
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Amar Belacel

Amar Belacel

Laboratory of Pure and Applied Mathematics (LPAM), University of LaghouatLaghouat, Algeria
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Belacel, Amar
 and 
Halima Hamdi

Halima Hamdi

Laboratory of Pure and Applied Mathematics (LPAM), University of LaghouatLaghouat, Algeria
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Hamdi, Halima
  
Oct 11, 2022
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Published Online: Oct 11, 2022
Page range: 299 - 309
Received: Apr 08, 2022
Accepted: Sep 25, 2022
DOI: https://doi.org/10.2478/mjpaa-2022-0021
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© 2022 Amar Bougoutaia et al., published by Sciendo
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

In this work we extend the concept of (r; t; s)-nuclear operators presented by Lapresté in (Studia math., T. LVII. 1976, 47 – 83) to n-homogeneous polynomials. Factorization and inclusion properties are described. Under some conditions, we also characterize the topological dual of the studied space.

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English
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3 times per year
Journal Subjects:
Mathematics, Analysis, Differential Equations and Dynamical Systems, Probability and Statistics, Numerical and Computational Mathematics
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