Ergodic theorems for certain power bounded operators (Q1113435)
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scientific article; zbMATH DE number 4082341
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Ergodic theorems for certain power bounded operators |
scientific article; zbMATH DE number 4082341 |
Statements
Ergodic theorems for certain power bounded operators (English)
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1987
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We consider invertible power bounded operators T on an Orlicz space such that T or \(T^{-1}\) is positive or T separates supports. For a wide class of Orlicz spaces we prove individual ergodic theorems and dominated ergodic theorems, and study the ergodic Hilbert transforms.
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invertible power bounded operators
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Orlicz space
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individual ergodic theorems
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dominated ergodic theorems
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ergodic Hilbert transforms
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