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BY 4.0 license Open Access Published by De Gruyter Open Access September 4, 2019

Moment Problems in Hereditary Function Spaces

  • Florian-Horia Vasilescu EMAIL logo
From the journal Concrete Operators


We introduce a concept of hereditary set of multi-indices, and consider vector spaces of functions generated by families associated to such sets of multi-indices, called hereditary function spaces. Existence and uniquenes of representing measures for some abstract truncated moment problems are investigated in this framework, by adapting the concept of idempotent and that of dimensional stability, and using some techniques involving C*-algebras and commuting self-adjoint multiplication operators.


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Received: 2019-04-16
Accepted: 2019-06-19
Published Online: 2019-09-04

© 2019 Florian-Horia Vasilescu, published by De Gruyter

This work is licensed under the Creative Commons Attribution 4.0 Public License.

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