University of Cagliari
The Truncated Moment Problem for Unital Commutative R-Algebras
Maria Infusino;
2023-01-01
Abstract
We investigate when a linear functional L defined on a linear subspace B of a unital commutative real algebra A admits an integral representation w.r.t. a positive Radon measure supported on a closed subset K of the character space of A. We provide a criterion for the existence of such a representation for L when A is equipped with a submultiplicative seminorm. We then build on this result to prove our main theorem for A not necessarily equipped with a topology. This allows us to extend well-known results on truncated moment problems.
Files in This Item:
| File | Size | Format | |
|---|---|---|---|
| 2023-Infusino-JOT.pdf embargo until 22/09/2028
Description: versione editoriale
Type: versione editoriale
Size 429.68 kB
Format Adobe PDF
|
429.68 kB | Adobe PDF | & nbsp; View / Open Request a copy |
Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.