Perturbed Semigroup Limit Theorems with Applications to Discontinuous Random Evolutions

DOI10.2307/1996871zbMath0263.47034OpenAlexW4248112573MaRDI QIDQ5679342

Robert P. Kertz

Publication date: 1974

Full work available at URL: https://doi.org/10.2307/1996871

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05) Groups and semigroups of linear operators (47D03)

Related Items

The birth of random evolutions, Random Evolution Processes with Feedback, A semigroup perturbation theorem with application to a singular perturbation problem in nonlinear ordinary differential equations, Limit theorems for semigroups with perturbed generators, with applications to multiscaled random evolutions, Random evolutions with underlying semi-Markov processes

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Limit theorems for discontinuous random evolutions with applications to initial value problems and to Markov processes on N lines
• Extensions of Trotter's operator semigroup approximation theorems
• A limit theorem for perturbed operator semigroups with applications to random evolutions
• A General Theorem on the Convergence of Operator Semigroups
• A stochastic integral in storage theory
• Theory of Random Evolutions with Applications to Partial Differential Equations
• Non‐commuting random evolutions, and an operator‐valued Feynman‐Kac formula
• Multiplicative operator functionals of a Markov process