Dense definiteness and boundedness of composition operators in $L^2$-spaces via inductive limits

Piotr Budzynski; Artur Planeta

doi:10.7153/oam-09-50

Dense definiteness and boundedness of composition operators in $L^2$-spaces via inductive limits

Functional Analysis 2018-09-06 v1

Authors: Piotr Budzynski , Artur Planeta

View on arXiv ↗ PDF ↗ DOI ↗

Abstract

The questions of dense definiteness and boundedness of composition operators in $L^2$ -spaces are studied by means of inductive limits of operators. Methods based on projective systems of measure spaces and inductive limits of $L^2$ -spaces are developed. Illustrative examples are presented.

Keywords

composition operators $L^2$-spaces dense definiteness boundedness inductive limits projective systems measure spaces

Cite

@article{arxiv.1409.3961,
  title  = {Dense definiteness and boundedness of composition operators in $L^2$-spaces via inductive limits},
  author = {Piotr Budzynski and Artur Planeta},
  journal= {arXiv preprint arXiv:1409.3961},
  year   = {2018}
}

Related papers

View all related →