Hamburger and Stieltjes Moment Problems for Operators | Zendy

Luminiţa Lemnete-Ninulescu | Zendy

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Hamburger and Stieltjes Moment Problems for Operators

Author(s) -

Luminiţa Lemnete-Ninulescu

Publication year - 2014

Publication title -

isrn mathematical analysis

Language(s) - English

Resource type - Journals

eISSN - 2090-4665

pISSN - 2090-4657

DOI - 10.1155/2014/836839

Subject(s) - riemann–stieltjes integral , moment (physics) , operator (biology) , mathematics , sequence (biology) , bounded function , calculus (dental) , mathematical analysis , physics , integral equation , classical mechanics , chemistry , medicine , biochemistry , repressor , transcription factor , gene , dentistry

Solutions to some operator-valued, unidimensional, Hamburger and Stieltjes moment problems in this paper are given. Necessary and sufficient conditions on some sequences of bounded operators being Hamburger, respectively, Stieltjes operator-valued moment sequences are obtained. The determinateness of the operator-valued Hamburger and Stieltjes moment sequence is studied.

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