Essential norms of Volterra and Cesàro operators on Müntz spaces

2016/12/09 by Ihab Al Alam, Georges Habib, Alam, Ihab Al +5
Mathematics · #30H99 #47B07 #47B38 #Advanced Banach Space Theory #Advanced Harmonic Analysis Research #Approximation Theory and Sequence Spaces #FOS: Mathematics #Functional Analysis (math.FA)

paper · pdf · doi:10.48550/arxiv.1612.03218

openalex publication_date 2016/12/09 · openalex created_date 2022/10/03 · openalex updated_date 2026/07/28

Abstract

We study the properties of the Volterra and Cesàro operators viewed on the L¹-Müntz space M_Λ¹ with range in the space of continuous functions. These operators are neither compact nor weakly compact. We estimate how far from being (weakly) compact they are by computing their (generalized) essential norm. It turns out that this latter does not depend on Λ and is equal to 1/2.

Related

• Essential norms of Volterra-type operators between~Zygmund~ type spaces
• Norm of the Cesàro operator between some spaces of analytic functions
• Weak compactness and essential norms of integration operators
• Generalized Cesàro operators in weighted Banach spaces of analytic functions with sup-norms
• The Essential Norm of Operators on A^p(\mathbbDⁿ)