Two-moment characterization of spectral measures on the real line

DOI10.4153/s0008414x22000426arXiv2103.09964OpenAlexW3170643684WikidataQ114021615 ScholiaQ114021615MaRDI QIDQ6165483

Jan Stochel, Paweł Pietrzycki

Publication date: 1 August 2023

Published in: Canadian Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2103.09964

zbMATH Keywords

operator monotone functionspectral measuremultiplicativitypositive linear mapsemispectral measureoperator moment

Mathematics Subject Classification ID

Linear operator inequalities (47A63) Hermitian and normal operators (spectral measures, functional calculus, etc.) (47B15) General theory of (C^*)-algebras (46L05) Moment problems (44A60) Vector-valued measures and integration (46G10)

Related Items

On \(n\)th roots of bounded and unbounded quasinormal operators

Cites Work

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• Positive operator valued measures and Feller Markov kernels
• The fast track to Löwner's theorem
• Quantum measurement
• Subnormal operators whose adjoints have rich point spectrum
• The multidimensional moment problem
• On the equality in Jensen's inequality for operator convex functions
• Über monotone Matrixfunktionen
• Complete hyperexpansivity, subnormality and inverted boundedness conditions.
• Quasinormality of powers of commuting pairs of bounded operators
• Subnormal \(n\)th roots of quasinormal operators are quasinormal
• Some operator inequalities of the Schwarz type
• Positivity of $2\times2$ block matrices of operators
• How sharp are PV measures
• Normal covariant quantization maps
• A generalized Schwarz inequality and algebraic invariants for operator algebras
• From unsharp to sharp quantum observables: The general Hilbert space case
• Positive operator valued measure in quantum information processing
• A Device for Studying Hausdorff Moments
• A geometrical characterization of commutative positive operator valued measures
• Phase space quantization and the operator moment problem
• Infinite sequences of linear functionals, positive operator-valued measures and Naimark extension theorem
• A note on matrix-convexity
• Decomposition and disintegration of positive definite kernels on convex *-semigroups
• Positive Definite Operator Sequences
• Sharp reconstruction of unsharp quantum observables
• Loewner's Theorem on Monotone Matrix Functions
• The complex moment problem: determinacy and extendibility
• Positive Functions on C ∗ -Algebras
• An operator inequality