Weakly centered weighted composition operators in L²-spaces

2025/10/22 by Budzyński, Piotr
#47B33 (Secondary) #47B37 (Primary) 47A15 #FOS: Mathematics #Functional Analysis (math.FA)

paper · doi:10.48550/arxiv.2510.19768

Abstract

Weakly centered and spectrally weakly cenetered weighted composition operators in L²-spaces are characterized. Criteria for existence of invariant subspaces are given. Additional results and examples are supplied.

Citations

• The hyperbolic cosine transform and its applications to composition operators
• Binormal, Complex Symmetric Operators
• Subnormality of unbounded composition operators over one-circuit\n directed graphs: exotic examples
• Aluthge transforms of weighted shifts on directed trees

Related

• Unbounded Weighted Composition Operators in L2-Spaces
• On normal, formally normal and quasinormal composition operators in\n \ℓ²-spaces
• A class of weighted composition operators whose Range and Null spaces are complemented
• Composition operators on weighted L^p spaces of a tree
• Weighted composition operators on weak vector-valued weighted Bergman spaces and Hardy spaces