Orlicz-Pettis polynomials on Banach spaces
Manuel González, Joaquín M. Gutiérrez
Abstract
We introduce the class of Orlicz-Pettis polynomials between Banach spaces, defined by their action on weakly unconditionally Cauchy series. We give a number of equivalent definitions, examples and counterexamples which highlight the differences between these polynomials and the corresponding linear operators.
Create a lesson
Related papers
Stable topology and stable compactness
Tiexin Guo, Qiang Tu, Xiaohuan Mu et al.
Commuting Toeplitz operators with harmonic symbols on the Fock space
Jie Qin, Youqi Liu, Sui Huang
Volterra operators on the BMOA space of Dirichlet series
Cezhong Tong, Maofa Wang, Zixing Yuan
Surjective maps preserving quasi-nilpotence of products of operators
Zakariae Azna, Fadil Chabbabi
Lipschitz-free spaces over separable Banach spaces and their complementability in the bidual
Marek Cúth, Ondřej F. K. Kalenda
Extremals for linear functionals on Hp are outer when 0<p<1
Ole Fredrik Brevig, Øistein Søvik