Geodesic
Integral analogs of series in Banach spaces
Vestnik Tomskogo gosudarstvennogo universiteta. Matematika i mehanika, no. 3 (2010), pp. 29-37
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Integral analogs of conditionally convergent series in Banach spaces are investigated. The values range of an integral analog of a series is shown to be an affine subspace. It can be found by the way described in the Steinitz theorem about the sum range of series in finite-dimension spaces.
Keywords: integral analog of a series, rearrangement of a series, sum range of a series, values range of an integral. 
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E. G. Lazareva; O. S. Osipov. Integral analogs of series in Banach spaces. Vestnik Tomskogo gosudarstvennogo universiteta. Matematika i mehanika, no. 3 (2010), pp. 29-37. http://geodesic.mathdoc.fr/item/VTGU_2010_3_a3/

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