Density Questions for the Truncated Matrix Moment Problem
| Autor: | Pedro Lopez-Rodriguez, Antonio J. Durán |
|---|---|
| Rok vydání: | 1997 |
| Předmět: |
Degree (graph theory)
Mathematical society General Mathematics 010102 general mathematics Positive-definite matrix Space (mathematics) 01 natural sciences Combinatorics Set (abstract data type) Moment problem Matrix (mathematics) 0103 physical sciences 010307 mathematical physics 0101 mathematics Mathematics |
| Zdroj: | Canadian Journal of Mathematics. 49:708-721 |
| ISSN: | 1496-4279 0008-414X |
| DOI: | 10.4153/cjm-1997-034-5 |
| Popis: | For a truncated matrix moment problem, we describe in detail the set of positive definite matrices of measures n in V2n (this is the set of solutions of the problem of degree 2n) for which the polynomials up to degree n are dense in the corresponding space L2(n). These matrices of measures are exactly the extremal measures of the set Vn. This work has been partially supported by DGICYT ref. PB93-0926. Received by the editors October 2, 1995; revised July 9, 1996. AMS subject classification: 42C05, 44A60. c Canadian Mathematical Society 1997. |
| Databáze: | OpenAIRE |
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