On Integration in Vector Spaces

Pettis, B. J. (1938). On Integration in Vector Spaces. Transactions of the American Mathematical Society, 44(2), 277-304.

Type

Journal article

Intellectual base

Primary research

Year

1938

DOI

10.1090/s0002-9947-1938-1501970-8

Link

https://doi.org/10.1090/S0002-9947-1938-1501970-8

Cited by

2 citations across 2 artifacts.

Domain-specific

• Pettis integral
  • That representing vector is \((P)\!\int_A f\,d\mu\).
• Weakly measurable function
  • A Banach-space-valued function \(f:X\to B\) is weakly measurable when \(x^\circ f\) is scalar measurable for every continuous linear functional \(x^\in B^*\).

Verification

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Registry ID ref:fcbbc1b9c220 · see in the full table