Essential norms of Volterra and Cesàro operators on Müntz spaces
Tom 151 / 2018
Colloquium Mathematicum 151 (2018), 157-169
MSC: 47B07, 47B38, 30H99.
DOI: 10.4064/cm7100-1-2017
Opublikowany online: 6 November 2017
Streszczenie
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 $1/2$.
