Ideals of polynomials between Banach spaces revisited

2017/03/07 by Velanga, Thiago
#FOS: Mathematics #Functional Analysis (math.FA)

paper · doi:10.48550/arxiv.1703.02362

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.

Related

• Constructing hyper-ideals of multilinear operators between Banach spaces
• Hyper-ideals of multilinear operators
• On ideals of polynomials and their applications
• Hyper-ideals of multilinear operators and two-sided polynomial ideals generated by sequence classes
• Remarks on the Bohnenblust--Hille inequalities