An ergodic theorem for a semigroup of linear contractions
نویسندگان
چکیده
منابع مشابه
An Ergodic Theorem for a Noncommutative Semigroup of Linear Operators
Introduction. The question of ergodicity of a semigroup of bounded linear operators on a Banach space has been reduced, by Alaoglu and Birkhoff [l],1 Day [2, 3], and Eberlein [4], to the study firstly of the ergodicity of the semigroup itself and secondly, of the ergodicity of each element of the Banach space with respect to this ergodic semigroup. In the case of a bounded and commutative semig...
متن کاملSemigroup Rings and the Extension Theorem for Linear Codes
An extension theorem for general weight functions is proved over nite commutative local principal ideal rings. The structure of the complex semigroup ring associated to the multiplicative semigroup of the ring plays a prominent role in the proof. 1. Background In her doctoral dissertation, MacWilliams [8], [9] proved an equivalence theorem: two linear codes C1; C2 F n de ned over a nite eld F a...
متن کاملAn Ergodic Theorem for Stochastic Programming Problems?
To justify the use of sampling to solve stochastic programming problems one usually relies on a law of large numbers for random lsc (lower semicontinuous) functions when the samples come from independent, identical experiments. If the samples come from a stationary process, one can appeal to the ergodic theorem proved here. The proof relies on thèscalarization' of random lsc functions.
متن کاملAn ergodic theorem for quantum counting processes
Modern research on quantum-mechanical counting processes, be it numerical simulations [Car] or experimental investigations [MYK], usually starts from the tacit assumption that for the study of statistical properties of the counting records it does not make a difference whether a large number of experiments is performed or a single very long one. This assumption amounts to ergodicity of these re...
متن کاملErgodic theory of amenable semigroup actions
In this paper, among other things, we state and prove the mean ergodic theorem for amenable semigroup algebras.
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Proceedings of the Japan Academy, Series A, Mathematical Sciences
سال: 1973
ISSN: 0386-2194
DOI: 10.3792/pja/1195519339