Boundedness, compactness and Schatten class for Rhaly matrices

2025/03/27 by Bellavita, Carlo, Dellepiane, Eugenio, Stylogiannis, Georgios · 1 citation
#30H99 #Complex Variables (math.CV) #FOS: Mathematics #Functional Analysis (math.FA) #Operator Algebras (math.OA) #Primary 47B10 #Secondary 30H25

paper · doi:10.48550/arxiv.2503.21930

Abstract

In this article we present new proofs for the boundedness and the compactness on ℓ² of the Rhaly matrices, also known as terraced matrices. We completely characterize when such matrices belong to the Schatten class S^q(ℓ²), for 1

Cited by

• Rhaly operators acting on Hardy, Bergman, and Dirichlet spaces

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