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arXiv · 1501.00785

s-Numbers sequences for homogeneous polynomials

Erhan Caliskan·Pilar Rueda
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Abstract

We extend the well known theory of $s$-numbers of linear operators to homogeneous polynomials defined between Banach spaces. Approximation, Kolmogorov and Gelfand numbers of polynomials are introduced and some well-known results of the linear and multilinear settings are obtained for homogeneous polynomials.

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Erhan Caliskan, Pilar Rueda. 2015-01-05. s-Numbers sequences for homogeneous polynomials. https://arxiv.org/abs/1501.00785

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