On the sequential approximation of scalarly measurable functions by simple functions

DOI10.3836/tjm/1270214333zbMath0539.46035OpenAlexW1966852336MaRDI QIDQ793947

Kazuo Hashimoto

Publication date: 1983

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

Full work available at URL: https://doi.org/10.3836/tjm/1270214333

zbMATH Keywords

every norm-bounded Pettis integrable function has the sequential approximation, if the base measure space is perfectmartingale argumentscalarly measurable functionsequential approximation of weak*-measurable functions by means of simple functionsWCG Banach spaces

Mathematics Subject Classification ID

Vector-valued set functions, measures and integrals (28B05) Vector-valued measures and integration (46G10) Martingales and classical analysis (60G46)

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