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


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.


Published: 2012/2013
First available in Project Euclid: 27 June 2014

zbMATH: 1298.28028
MathSciNet: MR3261889

Primary: 26A04 , 28B05
Secondary: 26A39

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

Rights: Copyright © 2012 Michigan State University Press

Vol.38 • No. 2 • 2012/2013
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