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The McShane and the Pettis integral of Banach space-valued functions defined on \(\mathbb{R}^m\)

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Publication:1397198
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zbMath1038.28009MaRDI QIDQ1397198

Guoju Ye, Štefan Schwabik

Publication date: 2002

Published in: Illinois Journal of Mathematics (Search for Journal in Brave)


zbMATH Keywords

Pettis integralMcShane integral


Mathematics Subject Classification ID

Vector-valued set functions, measures and integrals (28B05) Vector-valued measures and integration (46G10) Denjoy and Perron integrals, other special integrals (26A39)


Related Items

The distributional Henstock-Kurzweil integral and applications ⋮ On Henstock--Kurzweil and McShane integrals of Banach space-valued functions ⋮ Dunford-Henstock-Kurzweil and Dunford-McShane integrals of vector-valued functions defined on \(m\)-dimensional bounded sets ⋮ The new extensions of the Henstock-Kurzweil and the McShane integrals of vector-valued functions ⋮ On the Henstock-Kurzweil-Dunford and Kurzweil-Henstock-Pettis integrals



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