Patrick Michalski
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View article: Moment problem for algebras generated by a nuclear space
Moment problem for algebras generated by a nuclear space Open
We establish a criterion for the existence of a representing Radon measure for linear functionals defined on a unital commutative real algebra A, which we assume to be generated by a vector space V endowed with a Hilbertian seminorm q. Suc…
View article: Moment problem for algebras generated by a nuclear space
Moment problem for algebras generated by a nuclear space Open
We establish a criterion for the existence of a representing Radon measure for linear functionals defined on a unital commutative real algebra $A$, which we assume to be generated by a vector space $V$ endowed with a Hilbertian seminorm $q…
View article: An Intrinsic Characterization of Moment Functionals in the Compact Case
An Intrinsic Characterization of Moment Functionals in the Compact Case Open
We consider the class of all linear functionals $L$ on a unital commutative real algebra $A$ that can be represented as an integral w.r.t. to a Radon measure with compact support in the character space of $A$. Exploiting a recent generaliz…
View article: An intrinsic characterization of moment functionals in the compact case
An intrinsic characterization of moment functionals in the compact case Open
We consider the class of all linear functionals $L$ on a unital commutative real algebra $A$ that can be represented as an integral w.r.t. to a Radon measure with compact support in the character space of $A$. Exploiting a recent generaliz…
View article: Projective Limit Techniques for the Infinite Dimensional Moment Problem
Projective Limit Techniques for the Infinite Dimensional Moment Problem Open
We deal with the following general version of the classical moment problem: when can a linear functional on a unital commutative real algebra A be represented as an integral with respect to a Radon measure on the character space X ( A ) of…
View article: Projective limits techniques for the infinite dimensional moment problem
Projective limits techniques for the infinite dimensional moment problem Open
We deal with the following general version of the classical moment problem: when can a linear functional on a unital commutative real algebra $A$ be represented as an integral with respect to a Radon measure on the character space $X(A)$ o…