A Generalized Version of the Abelian Mean Ergodic Theorem with Rates for Semigroup Operators and Fractional Powers of Infinitesimal Generators
Author:
Publisher
Springer Science and Business Media LLC
Subject
Applied Mathematics,Mathematics (miscellaneous)
Link
http://link.springer.com/content/pdf/10.1007/BF03322063.pdf
Reference21 articles.
1. H. Berens, Interpolationsmethoden zur Behandlung von Approximationsprozessen auf Banachräumen, Lecture Notes in Mathematics 64, Springer-Verlag, Berlin, Heidelberg, New York 1968.
2. H. Berens, P.L. Butzer and U. Westphal, Representation of fractional powers of infinitesimal generators of semigroups, Bull. Amer. Math. Soc. 74 (1968), 191–196.
3. P.L. Butzer and W. Dickmeis, Direct and inverse mean ergodic theorems with rates for semigroup operators, in: Approximation & Function-Spaces, (Proc. Conf. Gdansk, August 1979, ed. by Z. Ciesielski), North-Holland, Amsterdam 1981, pp. 191–196.
4. P.L. Butzer and W. Dickmeis, On the sharpness of non-optimal approximation for semigroup operators, Manuscripta Math. 51 (1985), 243–251.
5. P.L. Butzer and A. Gessinger, The mean ergodic theorem for cosine operator functions with optimal and non-optimal rates, Acta Math. Hungar. 68(4) (1995), 319–353.
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1. Bernstein functions and rates in mean ergodic theorems for operator semigroups;Journal d'Analyse Mathématique;2012-11
2. Analytic continuation and stability of operator semigroups;Journal d'Analyse Mathématique;2004-12
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