scientific article

zbMath0472.28001MaRDI QIDQ3926813

Charalambos D. Aliprantis, Owen Burkinshaw

Publication date: 1981

Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.

zbMATH Keywords

uniform boundedness principleLp-spacesRadon-Nikodym theoremorder theoretic methodsBanach-latticesCaratheodory extension procedureschange-of-variables-formulaDaniell extension procedureJordan decomposition of signed measuresOpen-mapping-, Closed-graph- and Hahn- Banach-theoremRiesz-representation-theoremStone-Weierstrass-theorem

Mathematics Subject Classification ID

Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Contents, measures, outer measures, capacities (28A12) Measurable and nonmeasurable functions, sequences of measurable functions, modes of convergence (28A20) Integration with respect to measures and other set functions (28A25) Banach lattices (46B42) Topological linear spaces of continuous, differentiable or analytic functions (46E10) Introductory exposition (textbooks, tutorial papers, etc.) pertaining to measure and integration (28-01) Abstract differentiation theory, differentiation of set functions (28A15)

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