The UCF Mathematics Colloquium, held every Monday from 3:30pm to 4:30pm in MSB 318, offers a diverse platform for research scholars, faculty, students, and industry experts to share and exchange ideas, fostering discussion and networking across various areas of mathematics.
Dr. Dragu Atanasiu from the University of Borås, Sweden, will speak at this week's colloquium on the moment problem on compact sets of characters.
Abstract: In this talk we consider linear functionals on a unital commutative R-algebra.
Recently, a characterization for moment functionals has been discovered, on compact sets of characters, depending only on the given functionals.
In this talk, we establish alternative characterizations. For example, we obtain a characterization of a moment functional on a product of symmetric intervals in which we do not assume that the functional is positive semidefinite but positive on an Archimedean semiring of an algebra, and a characterization of a moment functional for which the compact support of the representing measure is a subset of the support of the representing measure in the characterization mentioned above.
We also consider a unital commutative semigroup S with involution and characterize moment functions on compact sets of characters of S.
Read More