New Results on Markov Moment Problem
Author
Source
International Journal of Analysis
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-17, 17 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-02-03
Country of Publication
Egypt
No. of Pages
17
Main Subjects
Abstract EN
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: bang-bang principle, truncated moment problem, weak compactness, and convergence.
Finally, a general independent statement with respect to polynomials is discussed.
American Psychological Association (APA)
Olteanu, Octav. 2013. New Results on Markov Moment Problem. International Journal of Analysis،Vol. 2013, no. 2013, pp.1-17.
https://search.emarefa.net/detail/BIM-506530
Modern Language Association (MLA)
Olteanu, Octav. New Results on Markov Moment Problem. International Journal of Analysis No. 2013 (2013), pp.1-17.
https://search.emarefa.net/detail/BIM-506530
American Medical Association (AMA)
Olteanu, Octav. New Results on Markov Moment Problem. International Journal of Analysis. 2013. Vol. 2013, no. 2013, pp.1-17.
https://search.emarefa.net/detail/BIM-506530
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-506530