Surjectivity, Closed Range, and Fredholmness of the Composition and Multiplication Operators Between Possibly Distinct Orlicz Spaces

Tadeusz Chawziuk,Yousef Estaremi,Henryk Hudzik

Results in Mathematics（2020）

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摘要

We give criteria for the closely related concepts of surjectivity, closed range, and Fredholmness of the composition and multiplication operators between possibly different Orlicz spaces over non-atomic measure spaces.

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关键词

Multiplication operator, composition operator, continuous operators, closed range operators, surjective operators, Fredholm operators, Orlicz space, Musielak–Orlicz space, Lebesgue space, measurable transformation, Radon–Nikodym derivative, 47B38, 47B33, 46E30

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