Search results for " integrably bounded set- valued function"

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On Spaces of Bochner and Pettis Integrable Functions and Their Set-Valued Counterparts

2011

The aim of this paper is to give a brief summary of the Pettis and Bochner integrals, how they are related, how they are generalized to the set-valued setting and the canonical Banach spaces of bounded maps between Banach spaces that they generate. The main tool that we use to relate the Banach space-valued case to the set-valued case, is the R ̊adstr ̈om embedding theorem.

Pettis integralSet (abstract data type)Mathematics::Functional AnalysisPure mathematicsIntegrable systemBounded functionBanach latticeBochner integralBanach spaceEmbeddingAbsolutely summing operator Banach lattice Bochner integral Pettis integral cone absolutely summing operator integrably bounded set- valued function set-valued operator.Mathematics
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