Conical measures and closed vector measures

DOI10.7169/facm/1711zbMath1416.28016OpenAlexW2898609940MaRDI QIDQ2631741

Susumu Okada, Werner J. Ricker

Publication date: 16 May 2019

Published in: Functiones et Approximatio. Commentarii Mathematici (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.facm/1540519328

zbMATH Keywords

conical measureMaharam measurelocalizable measureclosed vector measuretruly continuous

Mathematics Subject Classification ID

Vector-valued set functions, measures and integrals (28B05) Vector-valued measures and integration (46G10) Lattices of continuous, differentiable or analytic functions (46E05) Measures on Boolean rings, measure algebras (28A60) Integration theory via linear functionals (Radon measures, Daniell integrals, etc.), representing set functions and measures (28C05)

Cites Work

• Optimal domain and integral extension of operators, acting in function spaces
• Spectral measures and the Bade reflexivity theorem
• Conical measures and vector measures
• Characterization of the closed convex hull of the range of a vector- valued measure
• Criteria for closedness of spectral measures and completeness of Boolean algebras of projections
• On a theorem of Orlicz and Pettis
• Integration with respect to vector measures
• The bounded vector measure associated to a conical measure and pettis differentiability
• Weak completeness properties of the $L^1 $-space of a spectral measure
• Criteria for Closedness of Vector Measures
• Lattice copies of c₀and l^∞in spaces of integrable functions for a vector measure
• The range of a vector-valued measure
• Equivalences of Measure Spaces
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