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19952026
most citedThe multidimensional truncated Moment Problem: Atoms, Determinacy, and Core Variety

30 citations · 93 across the 17 of their papers we have counts for

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8 papers · 1 filter

math.FA2026

Domain Characterizations of Strong Commutativity\break of Unbounded Self-Adjoint Operators

Konrad Schmüdgen

Let and be unbounded self-adjoint operators on a Hilbert space. Suppose that there exists a dense linear subspace such that for $x \i…

math.FA2026

The Quaternionic Moment Problem

R. Ben Taher, K. Schmüdgen, E. H. Zerouali

In this paper we develop an approach to the full quaternionic moment problem. We define a hierarchy , $k\in \mathbb{N}_…

math.FA2026

Antilinar Normal Operators on Hilbert Space

Konrad Schmüdgen

An operator on a complex Hilbert space $\Hh$ is called antilinear if and $A(λx)=\ovλ Ax$ for $x,y\in \cD(A)$ and $λ\in \dC$. We investigate some classes of dense…

math.FA2024

On the Moment Functionals with Signed Representing Measures

Konrad Schmüdgen

Suppose that $\sA$ is a finitely generated commutative unital real algebra and is a closed subset of the set of characters of $\sA$. We study the following problem: W…

math.FA2023

On the Matricial Truncated Moment Problem. II

Conrad Mädler, Konrad Schmüdgen

We continue the study of truncated matrix-valued moment problems begun in arXiv:2310.00957. Let . Suppose that is a measurable space an…

math.FA2023

On the Truncated Matricial Moment Problem. I

Conrad Mädler, Konrad Schmüdgen

This paper is about the general truncated matrix-valued moment problem. Let denote the complex Hermitian -matrices, . Suppose that $(\ma…

math.FA2017★ 10 cited

The multidimensional truncated Moment Problem: Carathéodory Numbers

Philipp J. di Dio, Konrad Schmüdgen

Let be a finite-dimensional subspace of , where is a locally compact Hausdorff space, and a ba…

math.FA2017★ 30 cited

The multidimensional truncated Moment Problem: Atoms, Determinacy, and Core Variety

Philipp J. di Dio, Konrad Schmüdgen

This paper is about the moment problem on a finite-dimensional vector space of continuous functions. We investigate the structure of the convex cone of moment functionals (supporti…