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On Spectral Synthesis and Ergodicity in Spaces of Vector-Valued Functions
Published online by Cambridge University Press: 20 November 2018
Abstract
Spectral synthesis in L∞(ℝ, ℂN), N < 1, is considered. It is is proved that sets of spectral synthesis are necessarily sets of spectral resolution.
These results are applied to investigate ergodic and mixing properties of some positive contractions on L1(G, ℂN).
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- Research Article
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- Copyright
- Copyright © Canadian Mathematical Society 1984
Footnotes
This work has been done during a visit of the author at the University of Toronto and is partially supported by NSERC Grant A3974.