Moment problems in hereditary function spaces

DOI10.1515/conop-2019-0006zbMath1439.44007OpenAlexW2975530471MaRDI QIDQ2011368

Florian-Horia Vasilescu

Publication date: 6 December 2019

Published in: Concrete Operators (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/conop-2019-0006

zbMATH Keywords

dimensional stabilityhereditary set of multi-indicesrelative idempotentrelative multiplicativity

Mathematics Subject Classification ID

Hermitian and normal operators (spectral measures, functional calculus, etc.) (47B15) General theory of (C^*)-algebras (46L05) Moment problems (44A60)

Cites Work

• Dimensional stability in truncated moment problems
• On square positive extensions and cubature formulas
• The subnormal completion problem in several variables
• Positivity of Riesz functionals and solutions of quadratic and quartic moment problems
• On the truncated two-dimensional moment problem
• An idempotent approach to truncated moment problems
• The operator approach to the truncated multidimensional moment problem
• The extremal truncated moment problem
• Solving the truncated moment problem solves the full moment problem
• The truncated matrix-valued $K$-moment problem on $\mathbb {R}^d$, $\mathbb {C}^d$, and $\mathbb {T}^d$
• Flat extensions of positive moment matrices: recursively generated relations
• Solution of the truncated complex moment problem for flat data
• The Moment Problem
• The proof of Tchakaloff’s Theorem
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