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Pettis and Bochner Integrals - gavinkerrigan. github. io
The Pettis Integral We proceed to define the weak (Pettis) integral in the general setting Suppose $(\Omega, \mathcal{F}, \P)$ is a probability space and $X$ is a normed vector space Let $\xi: \Omega \to X$ be a random element
Pettis Integral and Measure Theory - Google Books
We present a self-contained account of measure theory and integration in a Banach space We give a detailed analysis of the weak Baire probabilities on a Banach space E, and on its second dual
(PDF) Pettis Integral - ResearchGate
We present a complete characterization of finitely additive interval measures with values in conjugate Banach spaces which can be represented as Henstock-Kurzweil-Gelfand integrals