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Almost Everywhere Convergence of Generalized Ergodic Transforms for Invertible Power-bounded Operators
| Content Provider | Semantic Scholar |
|---|---|
| Author | Ium, Colloqu Icum, Mathemat |
| Copyright Year | 2011 |
| Abstract | We show that some results of Gaposhkin about a.e. convergence of series associated to a unitary operator U acting on L(X,Σ, μ) (μ is a σ-finite measure) may be extended to the case where U is an invertible power-bounded operator acting on L(X,Σ, μ), p > 1. The proofs make use of the spectral integration initiated by Berkson– Gillespie and, more specifically, of recent results of the author. |
| File Format | PDF HTM / HTML |
| Alternate Webpage(s) | https://www.impan.pl/shop/publication/transaction/download/product/87437 |
| Language | English |
| Access Restriction | Open |
| Content Type | Text |
| Resource Type | Article |