From Scalar McShane Integrability to Pettis Integrability

M. Saadoune; R. Sayyad

doi:rae/1403894904

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Home > Journals > Real Anal. Exchange > Volume 38 > Issue 2 > Article

2012/2013 From Scalar McShane Integrability to Pettis Integrability

M. Saadoune, R. Sayyad

Real Anal. Exchange 38(2): 445-466 (2012/2013).

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Abstract

A new concept of McShane-tightness is introduced to pass from scalar (alias weak) McShane integrability to Pettis integrability. It is used also to derive a scalar McShane version of the Vitali theorem.

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M. Saadoune. R. Sayyad. "From Scalar McShane Integrability to Pettis Integrability." Real Anal. Exchange 38 (2) 445 - 466, 2012/2013.

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Published: 2012/2013

First available in Project Euclid: 27 June 2014

zbMATH: 1298.28028

MathSciNet: MR3261889

Subjects:

Primary: 26A04 , 28B05

Secondary: 26A39

Keywords: locally $\tau$-upper McShane-bounded , locally McShane-tight , McShane integral , Pettis integral , scalar McShane integral

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Real Anal. Exchange

Vol.38 • No. 2 • 2012/2013

Michigan State University Press

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M. Saadoune, R. Sayyad "From Scalar McShane Integrability to Pettis Integrability," Real Analysis Exchange, Real Anal. Exchange 38(2), 445-466, (2012/2013)

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