Convergence of random bounded linear operators in the Skorokhod space

DOI10.1515/rose-2019-2011zbMath1447.60011OpenAlexW2945751902WikidataQ127865425 ScholiaQ127865425MaRDI QIDQ2003528

N. Vadori, Anatoliy Swishchuk

Publication date: 9 July 2019

Published in: Random Operators and Stochastic Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/rose-2019-2011

zbMATH Keywords

weak convergencealmost sure convergence

Mathematics Subject Classification ID

General theory of stochastic processes (60G07) Functional limit theorems; invariance principles (60F17) Limit theorems for vector-valued random variables (infinite-dimensional case) (60B12)

Cites Work

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• A central limit problem in random evolutions
• Limit theorems for stationary random evolutions
• A stochastic integral representation for random evolutions
• On the convergence of random mappings
• RANDOM BOUNDED OPERATORS AND THEIR EXTENSION
• The adjoint and the composition of random operators on a hilbert space
• Transforming random operators into random bounded operators

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