A note on summability of multilinear forms on classical sequence spaces

TL;DR

This paper provides optimal estimates for multilinear forms on classical sequence spaces, specifically on lex_p spaces, advancing understanding of their summability properties.

Contribution

It introduces new optimal bounds for multilinear forms on lex_p spaces, improving previous estimates and theoretical understanding.

Findings

Established optimal estimates for multilinear forms on lex_p spaces

Enhanced understanding of summability properties of multilinear forms

Provided theoretical bounds that are proven to be optimal

Abstract

We obtain some optimal estimates for multilinear forms on $\ell _{p}$ spaces.