Moment functions on real algebraic sets

DOI10.1007/BF02384866zbMath0819.47015MaRDI QIDQ1197463

Jan Stochel

Publication date: 16 January 1993

Published in: Arkiv för Matematik (Search for Journal in Brave)

zbMATH Keywords

polynomial algebrapower moment problemunbounded subnormal operatorsformally normal, not subnormal, unbounded operatorpathological example

Mathematics Subject Classification ID

Real algebraic sets (14P05) Subnormal operators, hyponormal operators, etc. (47B20) Linear symmetric and selfadjoint operators (unbounded) (47B25) Linear operator methods in interpolation, moment and extension problems (47A57) Moment problems (44A60)

Related Items (17)

The division algorithm in sextic truncated moment problems ⋮ A non-hyponormal operator generating Stieltjes moment sequences ⋮ Dirichlet-type spaces on the unit ball and joint 2-isometries ⋮ Unbounded subnormal weighted shifts on directed trees ⋮ Solution of the truncated moment problem with variety 𝑦=𝑥³ ⋮ Subnormality of unbounded composition operators over one-circuit directed graphs: exotic examples ⋮ Positive definiteness and commutativity of operators ⋮ On unbounded composition operators in \(L^2\)-spaces ⋮ An analogue of the Riesz-Haviland theorem for the truncated moment problem ⋮ Three term recurrence relation modulo ideal and orthogonality of polynomials of several variables ⋮ The truncated complex $K$-moment problem ⋮ Extending positive definiteness ⋮ The complex moment problem: determinacy and extendibility ⋮ The complex moment problem and subnormality: A polar decomposition approach ⋮ Mathematical work of Franciszek Hugon Szafraniec and its impacts ⋮ A solution to the Cauchy dual subnormality problem for 2-isometries ⋮ Lifting strong commutants of unbounded subnormal operators

Cites Work

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• A remark on the multidimensional moment problem
• Problème des moments sur un compact de \({\mathbb{R}}^ n\) et décomposition de polynômes a plusieurs variables
• The multidimensional moment problem
• Exponentially bounded positive definite functions
• Polynomially positive definite sequences
• The \(K\)-moment problem for compact semi-algebraic sets
• Boundedness of the shift operator related to positive definite forms: An application to moment problems
• A Note on the Two-Dimensional Moment Problem
• An Example of a Positive Polynomial which is not a Sum of Squares of Polynomials A Positive, but not Strongly Positive Functional
• Shorter Notes: A Formally Normal Operator having no Normal Extension
• Formally Normal Operators Having no Normal Extensions
• On the Momentum Problem for Distribution Functions in More than One Dimension
• On the Momentum Problem for Distribution Functions in More Than One Dimension. II

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