# Ideals of polynomials between Banach spaces revisited

## TL;DR

This paper introduces a unified framework for studying ideals of polynomials and multilinear operators between Banach spaces, extending previous research and establishing a generalized Bohnenblust--Hille inequality.

## Contribution

It presents a more general approach to ideals of polynomials and multilinear operators, including new results like a generalized Bohnenblust--Hille inequality.

## Key findings

- Established a generalized Bohnenblust--Hille inequality
- Proposed a unified approach to polynomial ideals
- Suggested new lines of investigation in the framework

## Abstract

Ideals of polynomials and multilinear operators between Banach spaces have been exhaustively investigated in the last decades. In this paper, we introduce a unified (and more general) approach and propose some lines of investigation in this new framework. Among other results, we prove a Bohnenblust--Hille inequality in this more general setting.