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Reciprocals of weighted composition operators in $L^2$-spaces

Functional Analysis 2024-11-27 v1

Abstract

Various formulas for reciprocals of densely defined weighted composition operators in L2L^2-spaces as well as for their adjoints are provided. The relation between the reciprocal of a weighted composition operator and the product of the reciprocals of the associated multiplication operator and composition operator are studied.

Keywords

Cite

@article{arxiv.2306.12095,
  title  = {Reciprocals of weighted composition operators in $L^2$-spaces},
  author = {Piotr Budzyński},
  journal= {arXiv preprint arXiv:2306.12095},
  year   = {2024}
}

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13 pages