Virtually (r; r_1, ... , r_n ; s)-nuclear multilinear operators

Authors

  • Dahmane Achour University of M'sila, 28000 M'sila, Algeria,
  • Amar Belacel University of Laghouat, 03000 Laghouat, Algeria

DOI:

https://doi.org/10.17398/

Keywords:

Multilinear operators, nuclear operators, summing operators

Abstract

In this paper, the space of virtually (r; r_1, ... , r_n; s)-nuclear multilinear operators between Banach spaces is introduced, some of its properties are described and its topological dual is characterized as a Banach space of multiple absolutely (r'; r'_1, ... , r'_n; s')-summing multilinear operators.

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References

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Published

2015-12-01

Issue

Section

Operator Theory

How to Cite

Virtually (r; r_1, ... , r_n ; s)-nuclear multilinear operators. (2015). Extracta Mathematicae, 30(2), 235-250. https://doi.org/10.17398/