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Toeplitz matrices, ergodicity and Fréchet spaces
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M. S. Ramanujan
Published/Copyright:
January 18, 2011
Abstract
Yosida´s version of the mean ergodic theorem is extended to positive Toeplitz matrices and locally convex spaces. This is used to provide extensions of the results of Albanese, Bonet and Ricker on the structure of Fréchet spaces and also Köthe echelon spaces.
Keywords: Toeplitz matrices; ergodic operators; Euler and Hausdorff methods; Frechet spaces and Koethe spaces
Published Online: 2011-01-18
Published in Print: 2011-01-01
© by Oldenbourg Wissenschaftsverlag, Ann Arbor, MI 48109-1043, Germany
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Keywords for this article
Toeplitz matrices;
ergodic operators;
Euler and Hausdorff methods;
Frechet spaces and Koethe spaces
Articles in the same Issue
- Original Papers
- Some counterexamples for your calculus course
- Boundedness of some pseudo-differential operators on generalized Triebel–Lizorkin spaces
- Some topics related to universality of L-functions with an Euler product
- On the corkscrew condition for minimal sets
- Entire functions sharing values with their derivatives
- Expressions for two generalized Furdui series
- Differential polynomials which share a value with their derivative
- Toeplitz matrices, ergodicity and Fréchet spaces
- On algebraic selfsimilar solutions of the mean curvature flow
