Geodesic
Convergence theorems for the PU-integral
Mathematica Bohemica, Tome 125 (2000) no. 1, pp. 77-86

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MR Zbl
We give a definition of uniform PU-integrability for a sequence of $\mu$-measurable real functions defined on an abstract metric space and prove that it is not equivalent to the uniform $\mu$-integrability.
We give a definition of uniform PU-integrability for a sequence of $\mu$-measurable real functions defined on an abstract metric space and prove that it is not equivalent to the uniform $\mu$-integrability.
DOI : 10.21136/MB.2000.126264
Classification : 05C10, 05C75, 26A39, 28A20
Keywords: PU-integral; PU-uniform integrability; $\mu$-uniform integrability 
Riccobono, Giuseppa. Convergence theorems for the PU-integral. Mathematica Bohemica, Tome 125 (2000) no. 1, pp. 77-86. doi: 10.21136/MB.2000.126264
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[4] G. Riccobono: A PU-integral on an abstract metric space. Math. Bohem. 122 (1997), 83-95. | MR | Zbl

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