Integration with respect to operator-valued measures with applications to quantum estimation theory

DOI10.1007/BF01789387zbMath0551.28010OpenAlexW2104009150MaRDI QIDQ801170

Sanjoy K. Mitter, Stephen K. Young

Publication date: 1984

Published in: Annali di Matematica Pura ed Applicata. Serie Quarta (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01789387

zbMATH Keywords

convex optimization problemsintegration theory with respect to operator-valued measuresquantum estimation problems

Mathematics Subject Classification ID

Vector-valued set functions, measures and integrals (28B05) Quantum equilibrium statistical mechanics (general) (82B10) Vector-valued measures and integration (46G10) Existence theories for problems in abstract spaces (49J27) Miscellaneous applications of functional analysis (46N99)

Related Items (10)

An optimization problem from linear filtering with quantum measurements ⋮ Representation of multilinear operators on $\times C_0(T_i)$ ⋮ On integration in Banach spaces, XII. Integration with respect to polymeasures ⋮ Unnamed Item ⋮ Operators on spaces of bounded vector-valued continuous functions with strict topologies ⋮ Strict topologies and spectral measures ⋮ Non-negative spectral measures and representations of \(C^\ast\)-algebras ⋮ Convex Optimization in Infinite Dimensional Spaces ⋮ The Bochner-convolution integral for generalized functional-valued functions of discrete-time normal martingales ⋮ On perturbations of \(C_0 \)-semigroups in Banach spaces generated by operator-valued measures

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Statistical decision theory for quantum systems
• L'intégration par rapport à une mesure de Radon vectorielle
• On representation of linear operators on $C_0(T,{\bf X})$

This page was built for publication: Integration with respect to operator-valued measures with applications to quantum estimation theory