<abstract xmlns="http://www.w3.org/1999/xhtml">

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

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.

On (<italic>r</italic>; <italic>t</italic>; <italic>s</italic>)-nuclear polynomials

Laboratory of Pure and Applied Mathematics (LPAM)

Moroccan Journal of Pure and Applied Analysis

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

{"article-title":{"italic":["r","t","s"],"content":["On (",";",";",")-nuclear polynomials"]}}

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....

On (r; t; s)-nuclear polynomials

Publié en ligne: 11 oct. 2022

Pages: 299 - 309

Reçu: 08 avr. 2022

Accepté: 25 sept. 2022

DOI: https://doi.org/10.2478/mjpaa-2022-0021

Mots clés
Nuclear operator, Homogeneous polynomial, Ideal of polynomials

© 2022 Amar Bougoutaia et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

On (r; t; s)-nuclear polynomials

Publié en ligne: 11 oct. 2022

Pages: 299 - 309

Reçu: 08 avr. 2022

Accepté: 25 sept. 2022

DOI: https://doi.org/10.2478/mjpaa-2022-0021

Mots clésNuclear operator, Homogeneous polynomial, Ideal of polynomials

© 2022 Amar Bougoutaia et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Mots clés
Nuclear operator, Homogeneous polynomial, Ideal of polynomials