English

s-Numbers sequences for homogeneous polynomials

Functional Analysis 2015-01-06 v1

Abstract

We extend the well known theory of ss-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.

Keywords

Cite

@article{arxiv.1501.00785,
  title  = {s-Numbers sequences for homogeneous polynomials},
  author = {Erhan Caliskan and Pilar Rueda},
  journal= {arXiv preprint arXiv:1501.00785},
  year   = {2015}
}
R2 v1 2026-06-22T07:50:47.294Z