On almost surely bounded semigroups of random linear operators

DOI10.1063/1.4805049zbMath1282.81099OpenAlexW2048919332MaRDI QIDQ5402279

Xia Zhang, Ming Liu

Publication date: 6 March 2014

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.4805049

zbMATH Keywords

Menger probabilistic metric spaces

Mathematics Subject Classification ID

General and philosophical questions in quantum theory (81P05) Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Groups and semigroups of linear operators (47D03) Random measures (60G57) Random linear operators (47B80) Alternative quantum mechanics (including hidden variables, etc.) (81Q65)

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Cites Work

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• Recent progress in random metric theory and its applications to conditional risk measures
• Von Neumann's mean ergodic theorem on complete random inner product modules
• Relations between some basic results derived from two kinds of topologies for a random locally convex module
• Random strict convexity and random uniform convexity in random normed modules
• On the definition of a probabilistic normed space
• Probabilistic norms and convergence of random variables
• Extension theorems of continuous random linear operators on random domains
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• The relation of Banach--Alaoglu theorem and Banach--Bourbaki--Kakutani--Šmulian theorem in complete random normed modules to stratification structure
• Convergence of elements in random normed spaces
• Stone's representation theorem of a group of random unitary operators on complete complex random inner product modules
• A further study on the Riemann-integrability for abstract-valued functions from a closed real interval to a complete random normed module
• On Almost Sure Convergence in Linear Spaces of Random Variables
• A study of boundedness in probabilistic normed spaces
• A study of boundedness in probabilistic normed spaces
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