Diagonal Multilinear Operators on K\"othe Sequence Spaces
Functional Analysis
2017-11-17 v2
Abstract
We analyze the interplay between maximal/minimal/adjoint ideals of multilinear operators (between sequence spaces) and their associated K\"othe sequence spaces. We establish relationships with spaces of multipliers and apply these results to describe diagonal multilinear operators from Lorentz sequence spaces. We also define and study some properties of the ideal of -summing multilinear mappings, a natural extension of the linear ideal of absolutely -summing operators.
Keywords
Cite
@article{arxiv.1706.04901,
title = {Diagonal Multilinear Operators on K\"othe Sequence Spaces},
author = {Verónica Dimant and Román Villafañe},
journal= {arXiv preprint arXiv:1706.04901},
year = {2017}
}