On local uniform mean convergence for Markov operators

Robert Sine

Type: Article

Publication Date: 1975-10-01

Citations: 35

DOI: https://doi.org/10.2140/pjm.1975.60.247

Abstract

The center of a stable Markov operator on C(X) is studied to obtain necessary and sufficient conditions for uniform convergence of the Cesaro means of the iterates on the center of the process.The relation between these results and previous local convergence theorems is also examined.

Locations

Pacific Journal of Mathematics - View - PDF
Project Euclid (Cornell University) - View - PDF

Similar Works

Action	Title	Year	Authors
+	On the Convergence of Moments in the Central Limit Theorem for Non-Homogeneous Markov Chains	1976	B. A. Lifshits
+	On Estimates of the Rate of Convergence in the Central Limit Theorem for Homogeneous Markov Chains	1984	S. Kh. Sirazhdinov Sh. K. Formanov
+	The convergence of Cesaro averages for certain nonstationary Markov chains	1977	Bruce L. Bowerman Hann David Dean Isaacson
+	A uniform estimate for the rate of convergence in the central limit theorem for homogeneous Markov chains	1995	M. Gharib Mohamed A. Abdel-Fattah
+	Convergence of moments in a Markov-chain central limit theorem	2001	David Steinsaltz
+	Weak Convergence for Markov Processes on Discrete State Spaces	2025	Hoang-Chuong Lam
+ PDF Chat	On the rate of convergence in the central limit theorem for Markov-chains	1976	Dieter Landers Lothar Rogge
+ PDF Chat	On the convergence of moments in stationary Markov chains	1975	P. J. Holewijn Arie Hordijk
+	On the Convergence Rate in a Local Renewal Theorem for a Random Markov Walk	2024	Gavriil Andreevich Bakai
+	Rates of convergence in the central limit theorem for Markov chains	2008	Marc Corluy
+	On the Central Limit Theorem for Markov Chains	1979	B. A. Lifshits
+	Markov Convergence Theorem	2016	Wynn C. Stirling
+ PDF Chat	Theorems on the convergence to Markov diffusion processes	1970	А. А. Боровков
+	On the Markov chain central limit theorem	2004	Galin L. Jones
+ PDF Chat	On the Markov chain central limit theorem	2004	Galin L. Jones
+ PDF Chat	On rates of convergence in a random central limit theorem and in the central limit theorem for Markov chains	1977	Erwin Bolthausen
+	Uniform ergodic convergence and averaging along Markov chain trajectories	1994	Yves Derriennic Michael Lin
+	On the rate of convergence in a multidimensional central limit theorem for inhomogeneous Markov chains	1974	R. Lapinskas
+ PDF Chat	Convergence of series of Gaussian Markov sequences	2011	Marina K. Runovska
+ PDF Chat	Constructions of local time for a Markov process	1983	Bert Fristedt S. J. Taylor

Works That Cite This (29)

Action	Title	Year	Authors
+ PDF Chat	A fractional Leibniz $q$-formula	1975	W. A. Al‐Salam Arun Verma
+ PDF Chat	Construction functors for topological semigroups	1975	Thomas Bowman
+ PDF Chat	On a space between $BH$ and $B_\infty$	1975	Jerrold Siegel
+ PDF Chat	On Rees localiti es and $H_i$-local rings	1975	Louis J. Ratliff
+ PDF Chat	Brownian motion and sets of multiplicity	1975	Robert Kaufman
+ PDF Chat	On the lattice of normal subgroups of a direct product	1975	Michael Miller
+ PDF Chat	On the existence of global classical solution of initial-boundary value problem for □<i>u</i>−<i>u</i><sup>3</sup>=<i>f</i>	1975	Yukiyoshi Ebihara Mitsuhiro Nakao Tokumori Nanbu
+ PDF Chat	Fixed point iterations of nonexpansive mappings	1975	Simeon Reich
+	Feller Processes on non-locally compact spaces	2005	Tomasz Szarek
+ PDF Chat	On the groups of units in semigroups of probability measures	1975	John Yuan

Works Cited by This (32)

Action	Title	Year	Authors
+ PDF Chat	Strongly semiprime rings	1975	David Handelman
+	Qualitative Theory of Differential Equations	1961	Viktor Vladimirovich Nemytskii
+ PDF Chat	On the action of the Dyer-Lashof algebra in<i>H</i><sub>∗</sub>(<i>G</i>)	1975	Ib Madsen
+ PDF Chat	Set approximation by lemniscates and the spectrum of an operator on an interpolation space	1975	James D. Stafney
+ PDF Chat	Strongly unicoherent continua	1975	Donald E. Bennett
+ PDF Chat	Construction functors for topological semigroups	1975	Thomas Bowman
+ PDF Chat	Unconditional Schauder decompositions of normed ideals of operators between some<i>l</i><sub><i>p</i></sub>-spaces	1975	Y. Gordon
+ PDF Chat	Homogene kompakte projektive Ebenen	1975	Helmut Salzmann
+ PDF Chat	On the mean convergence of Markov operators	1974	Robert E. Atalla
+ PDF Chat	Algebraically irreducible representations of<i>L</i><sub>1</sub>(<i>G</i>)<i>.</i>	1975	Robert A. Bekes