New results on Markov moment problem
type: Item
instance of: scholarly article
title: New results on Markov moment problem
zbMATH Open document ID: 1276.44003
DOI: 10.1155/2013/901318
author: Octav Olteanu
published in: International Journal of Analysis
publication date: 2013-07-25T00:00:00Z
review text: Summary: The present work deals with the existence of the solutions of some Markov moment problems. Necessary conditions, as well as necessary and sufficient conditions, are discussed. One recalls the background containing applications of extension results of linear operators with two constraints to the moment problem and approximation by polynomials on unbounded closed finite-dimensional subsets. Two domain spaces are considered: spaces of absolute integrable functions and spaces of analytic functions. Operator valued moment problems are solved in the latter case. In this paper, there is a section that contains new results, making the connection to some other topics: the bang-bang principle, the truncated moment problem, weak compactness, and convergence. Finally, a general independent statement with respect to polynomials is discussed.
Mathematics Subject Classification ID: 44A60
zbMATH DE Number: 6191108
zbMATH Keywords: Markov moment problems
zbMATH Keywords: bang-bang principle
zbMATH Keywords: truncated moment problem
zbMATH Keywords: weak compactness
zbMATH Keywords: convergence
Wikidata QID: Q58922558
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2013/901318
OpenAlex ID: W2035683810
cites work: Q5673152
cites work: Q5201175
cites work: Q5201352
cites work: Q3446240
cites work: Q5308950
cites work: Q3605290
cites work: Q3605305
cites work: Q3587688
cites work: Q3985707
cites work: Q4256448
cites work: Q5490254
cites work: Q4084773
cites work: Q5620935
cites work: Q4153229
cites work: Q3308548
cites work: Q3755956
cites work: The multidimensional moment problem
cites work: Existence, Uniqueness, and a Constructive Solution Algorithm for a Class of Finite Markov Moment Problems
cites work: Multivariate distributions and the moment problem
cites work: Stieltjes classes for moment-indeterminate probability distributions
cites work: The fixed point for a transformation of Hausdorff moment sequences and iteration of a rational function
cites work: Resolution of the finite Markov moment problem
cites work: Q4717454
cites work: Solving the truncated moment problem solves the full moment problem
cites work: Q4104377
cites work: Q4340161
description: scientific article; zbMATH DE number 6191108