On infinite matrices, Schur products and operator measures

DOI10.1016/S0034-4877(06)80959-6zbMath1131.47012arXivquant-ph/0609060OpenAlexW3100474597MaRDI QIDQ2456619

Juha-Pekka Pellonpää, Pekka J. Lahti, Jukka Kiukas

Publication date: 19 October 2007

Published in: Reports on Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/quant-ph/0609060

zbMATH Keywords

Schur productSchur multiplierquantum observablegeneralized vectorcovariant operator measureextensible operator measuregeneralized operator measurenorm of a Schur multiplier

Mathematics Subject Classification ID

Applications of operator theory in the physical sciences (47N50) Functions whose values are linear operators (operator- and matrix-valued functions, etc., including analytic and meromorphic ones) (47A56) Quantum measurement theory, state operations, state preparations (81P15) Vector-valued measures and integration (46G10)

Cites Work

• Schur multipliers
• Application of noise sequences of infinite matrices in the theory of quantum observables
• Phase observables, phase operators and operator orderings
• Covariant localizations in the torus and the phase observables
• On the structure of covariant phase observables
• Measures on F-Spaces
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