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arXiv · 1409.3961

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

Piotr Budzynski·Artur Planeta
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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.

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Piotr Budzynski, Artur Planeta. 2014-09-13. Dense definiteness and boundedness of composition operators in $L^2$-spaces via inductive limits. https://doi.org/10.7153/oam-09-50

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