Geometry and the Pettis Integral

DOI10.2307/1998464zbMath0498.28005OpenAlexW4236399093MaRDI QIDQ3963274

Robert F. Geitz

Publication date: 1982

Full work available at URL: https://doi.org/10.2307/1998464

zbMATH Keywords

corerangesperfect measure spacegeometric characterization of bounded Pettis integrable functions

Mathematics Subject Classification ID

Vector-valued set functions, measures and integrals (28B05) Vector-valued measures and integration (46G10)

Related Items (17)

On the theory of fractional calculus in the Pettis-function spaces ⋮ Multi-term fractional differential equations in a nonreflexive Banach space ⋮ On solutions of fractional order boundary value problems with integral boundary conditions in Banach spaces ⋮ Unnamed Item ⋮ Extending Edgar's ordering to locally convex spaces ⋮ Second order three-point boundary value problems in abstract spaces ⋮ On the range of a vector measure ⋮ Geometry and integration for operator valued measures ⋮ On the fractional calculus in abstract spaces and their applications to the Dirichlet-type problem of fractional order ⋮ Remarks on Pettis Integrability ⋮ Nonlinear fractional differential equations in nonreflexive Banach spaces and fractional calculus ⋮ Fractional calculus and fractional differential equations in nonreflexive Banach spaces ⋮ On the weak solution $u ∈ C_1-α(I,E) of a fractional-order weighted Cauchy type problem in reflexive Banach spaces ⋮ Hadamard-type fractional calculus in Banach spaces ⋮ A Decomposition of Bounded Scalarly Measurable Functions taking their Ranges in Dual Banach Spaces ⋮ Some Remarks on the Average Range of a Vector Measure ⋮ Distances to spaces of measurable and integrable functions

Cites Work

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• Pointwise compact sets of measurable functions
• A decomposition theorem for additive set-functions with applications to Pettis integrals and ergodic means
• Weak compactness and reflexivity
• Pettis Integration
• On perfect measures
• The Radon-Nikodym Theorem for the Bochner Integral
• On Integration in Vector Spaces
• Integration in a Convex Linear Topological Space

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