Essential norms of Volterra and Cesàro operators on Müntz spaces
Volume 151 / 2018
Colloquium Mathematicum 151 (2018), 157-169
MSC: 47B07, 47B38, 30H99.
DOI: 10.4064/cm7100-1-2017
Published online: 6 November 2017
Abstract
We study the properties of the Volterra and Cesàro operators viewed on the $L^1$-Müntz space $M_\varLambda ^1$ with range in the space of continuous functions. These operators are neither compact nor weakly compact. We estimate how far they are from being (weakly) compact by computing their (generalized) essential norm. It turns out that this norm does not depend on $\varLambda $ and is equal to $1/2$.
