scholarly journals The truncated moment problem on N0

2017 ◽  
Vol 452 (1) ◽  
pp. 443-468 ◽  
Author(s):  
M. Infusino ◽  
T. Kuna ◽  
J.L. Lebowitz ◽  
E.R. Speer
2008 ◽  
Vol 255 (10) ◽  
pp. 2709-2731 ◽  
Author(s):  
Raúl E. Curto ◽  
Lawrence A. Fialkow

2018 ◽  
Vol 274 (11) ◽  
pp. 3124-3148 ◽  
Author(s):  
Philipp J. di Dio ◽  
Konrad Schmüdgen

2012 ◽  
Vol 263 (6) ◽  
pp. 1682-1700 ◽  
Author(s):  
Lawrence Fialkow ◽  
Jiawang Nie

2013 ◽  
Vol 2013 ◽  
pp. 1-17 ◽  
Author(s):  
Octav Olteanu

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.


2001 ◽  
Vol 33 (4) ◽  
pp. 425-432 ◽  
Author(s):  
R. BEN TAHER ◽  
M. RACHIDI ◽  
E. H. ZEROUALI

The aim of this paper is to study properties of sequences that are recursively defined by a linear equation and their applications to the truncated moment problem in connection with the problem of subnormal completion of the truncated weighted shifts. Special cases are considered and some classical results due to Stampfli, Curto and Fialkow are recovered using elementary techniques.


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