On (r; t; s)-nuclear polynomials

Author:

Bougoutaia Amar1,Belacel Amar1,Hamdi Halima1

Affiliation:

1. Laboratory of Pure and Applied Mathematics (LPAM) , University of Laghouat , Laghouat , Algeria .

Abstract

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.

Publisher

Walter de Gruyter GmbH

Subject

Applied Mathematics,Control and Optimization,Numerical Analysis,Analysis

Reference20 articles.

1. [1] Achour D., Belacel A.:Virtually (r; r1, ..., rn; s)-nuclear multilinear operators. Extracta mathematicae 30 (2) (2015), 235-250.

2. [2] Achour D., Bernardino A.T. : (q; r)-Dominated holomorphic mappings. Collect. Math. 65 (2014), 1-16.

3. [3] Achour D., Mezrag L.: On the Cohen strongly p–summing multilinear operators. J. Math. Anal. Appl. 327(2007), 550-563.

4. [4] Achour, D., Saadi, K.: A polynomial characterization of Hilbert spaces. Collect. Math. 61 (3) (2010), 291-301.10.1007/BF03191234

5. [5] Alencar R., Matos M.C.: Some classes of multilinear mappings between Banach spaces. Publ. Dep. Analisis Matematico, Universidad Complutense de Madrid, 1989, Section 1, n.12.

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