Mean ergodic theorems for semigroups of linear operators

DOI10.1016/0022-247X(84)90136-7zbMath0608.47045MaRDI QIDQ1086489

Kazuo Kido, Takahashi, Wataru

Publication date: 1984

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

zbMATH Keywords

mean ergodic theorem

Mathematics Subject Classification ID

Ergodic theory of linear operators (47A35) Groups and semigroups of linear operators (47D03)

Related Items (13)

Local ergodic theorems for \(C_0\)-semigroups ⋮ Almost convergence of solutions of nonlinear Volterra equations in Banach space ⋮ An implicit method for finding a common fixed point of a representation of nonexpansive mappings in Banach spaces ⋮ Mean ergodic theorem for semigroups of linear operators in multi-Banach spaces ⋮ Concepts of almost periodicity and ergodic theorems in locally convex spaces ⋮ Strong convergence of Mann's-type iterations for nonexpansive semigroups in general Banach spaces ⋮ Invariant means on bounded vector-valued functions ⋮ Fixed point properties and \(Q\)-nonexpansive retractions in locally convex spaces ⋮ Semigroups of operators, cosine operator functions, and linear differential equations ⋮ Nonexpansive retractions and nonlinear ergodic theorems in Banach spaces ⋮ Existence of nonexpansive retractions for amenable semigroups of nonexpansive mappings and nonlinear ergodic theorems in Banach spaces ⋮ Unnamed Item ⋮ Unnamed Item

Cites Work

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• Amenable semigroups
• Nonlinear ergodic theorems for an amenable semigroup of nonexpansive mappings in a Banach space
• An ergodic theorem for semigroups of nonexpansive mappings in a Hilbert space
• A Nonlinear Ergodic Theorem for an Amenable Semigroup of Nonexpansive Mappings in a Hilbert Space
• Invariant functions for amenable semigroups of positive contractions on $L^{1}$

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