An application of ergodic theory to the solution of linear functional equations in Banach spaces

DOI10.1090/S0002-9904-1969-12166-XzbMath0187.07102MaRDI QIDQ5581123

W. G. jun. Dotson

Publication date: 1969

Published in: Bulletin of the American Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

functional analysis

Related Items (15)

Ergodic theory and the approximate solution of simultaneous linear functional equations ⋮ Existence and non-existence of solutions to the coboundary equation for measure-preserving systems ⋮ Product Integral Approximations of Solutions to Linear Operator Equations ⋮ Ergodic theory and iterative solution of linear operator equations ⋮ Mean ergodic theorems and linear functional equations ⋮ Uniform Convergence of Ergodic Limits and Approximate Solutions ⋮ Power convergence and pseudoinverses of operators in Banach spaces ⋮ Ergodic methods for closed linear operator equations ⋮ Solvability of linear functional equations in Lebesgue spaces ⋮ Theory of dynamical systems and general transformation groups with invariant measure ⋮ Nonlinear random ergodic theorems for affine operators ⋮ Approximators to generalized inverses as regularizers of ill-posed problems ⋮ Approximators to generalized inverses as regularizers of ill-posed problems ⋮ Mean ergodic theorems and iterative solution of linear functional equations ⋮ Poisson's equation for \(A\)-mean ergodic operators

Cites Work

• The solution by iteration of linear functional equations in Banach spaces
• Abstract Ergodic Theorems and Weak Almost Periodic Functions

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