A new proof of the monotone convergence theorem of Lebesgue integral on σ-class

DOI10.2478/s12175-012-0075-0zbMath1274.28024arXiv1102.3873OpenAlexW2140371829MaRDI QIDQ4902234

Dinh Trung Hoa

Publication date: 25 January 2013

Published in: Mathematica Slovaca (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1102.3873

zbMATH Keywords

\(\sigma \)-classLebesgue integralmonotone convergence theorem\(\sigma \)-algebrageneralized measure space

Mathematics Subject Classification ID

Vector-valued set functions, measures and integrals (28B05) Logical foundations of quantum mechanics; quantum logic (quantum-theoretic aspects) (81P10) Quantum logic (03G12)

Cites Work

• The integral on quantum probability spaces is monotonic
• Generalized monotone convergence and Radon–Nikodym theorems

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