Martingale methods in operator theory
type: Item
instance of: scholarly article
title: Martingale methods in operator theory
zbMATH Open document ID: 0624.47037
DOI: 10.1007/BF01060954
author: D. A. Skorokhod
published in: Ukrainian Mathematical Journal
publication date: 1986-01-01T00:00:00Z
review text: Based on the fact that conditional expectation is a projection and random variables can be viewed as multiplication operators on a Hilbert space, several notions and results from martingale theory are taken over to the case of an arbitrary weakly closed ring of commuting selfadjoint operators.
Mathematics Subject Classification ID: 47L30
Mathematics Subject Classification ID: 60G40
Mathematics Subject Classification ID: 60G42
Mathematics Subject Classification ID: 60G46
zbMATH DE Number: 4013367
zbMATH Keywords: Markov moments
zbMATH Keywords: conditional expectation
zbMATH Keywords: random variables
zbMATH Keywords: multiplication operators on a Hilbert space
zbMATH Keywords: martingale theory
zbMATH Keywords: weakly closed ring of commuting selfadjoint operators
reviewed by: Nicolae Angelescu
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 4013367