We study classes of operators represented as a pointwise absolutely convergent series of simpler ones, starting with rank 1 operators. In this short note we address the question, how far the repetition of this procedure can lead.
@article{bwmeta1.element.doi-10_2478_s11533-011-0145-5,
author = {Liudmyla Kadets and Vladimir Kadets},
title = {Pointwise absolutely convergent series of operators and related classes of Banach spaces},
journal = {Open Mathematics},
volume = {10},
year = {2012},
pages = {603-608},
zbl = {1247.46004},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.doi-10_2478_s11533-011-0145-5}
}
Liudmyla Kadets; Vladimir Kadets. Pointwise absolutely convergent series of operators and related classes of Banach spaces. Open Mathematics, Tome 10 (2012) pp. 603-608. http://gdmltest.u-ga.fr/item/bwmeta1.element.doi-10_2478_s11533-011-0145-5/
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