6533b85efe1ef96bd12bfdee

RESEARCH PRODUCT

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

Coenraad C.a. LabuschagneValeria Marraffa

subject

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

description

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.

yearjournalcountryeditionlanguage
2011-01-01
https://doi.org/10.1007/978-3-642-22833-9_6