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arXiv · 2110.00051

Hyper-ideals of multilinear operators and two-sided polynomial ideals generated by sequence classes

Geraldo Botelho·Raquel Wood
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Abstract

In the nonlinear field of multilinear operators and homogeneous polynomials between Banach spaces, we develop a technique, based on the transformation of vector-valued sequences, to create new examples of hyper-ideals of multilinear operators, polynomial hyper-ideals and polynomial two-sided ideals. Several well studied ideals are shown to be actually hyper-ideals or two-sided ideals.

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Geraldo Botelho, Raquel Wood. 2021-09-30. Hyper-ideals of multilinear operators and two-sided polynomial ideals generated by sequence classes. https://arxiv.org/abs/2110.00051

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