Title :

Moment Problems in Hereditary FunctionSpaces

Author(s) :

Vasilescu, Florian-Horia [Auteur]
Laboratoire Paul Painlevé - UMR 8524 [LPP]

Journal title :

Concrete Operators

Publication date :

2019-06-19

English keyword(s) :

hereditary set of multi-indices
relative idempotent
relative multiplicativity
dimensional stability

HAL domain(s) :

Mathématiques [math]

English abstract : [en]

We introduce a concept of hereditary set of multi-indices, and consider vector spaces of functionsgenerated by families associated to such sets of multi-indices, called hereditary function spaces. Existenceand uniquenes ...
Show more >We introduce a concept of hereditary set of multi-indices, and consider vector spaces of functionsgenerated by families associated to such sets of multi-indices, called hereditary function spaces. Existenceand uniquenes of representing measures for some abstract truncated moment problems are investigated inthis framework, by adapting the concept of idempotent and that of dimensional stability, and using sometechniques involving C * -algebras and commuting self-adjoint multiplication operators.Show less >

Language :

Anglais

Popular science :

Non

Collections :

• Laboratoire Paul Painlevé - UMR 8524

Source :

Harvested from HAL