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. 
@article{VTGU_2010_3_a3,
     author = {E. G. Lazareva and O. S. Osipov},
     title = {Integral analogs of series in {Banach} spaces},
     journal = {Vestnik Tomskogo gosudarstvennogo universiteta. Matematika i mehanika},
     pages = {29--37},
     publisher = {mathdoc},
     number = {3},
     year = {2010},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VTGU_2010_3_a3/}
}
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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/