We study the interplay between unconditional decompositions and the R-boundedness of collections of operators. In particular, we get several multiplier results of Marcinkiewicz type for -spaces of functions with values in a Banach space X. Furthermore, we show connections between the above-mentioned properties and geometric properties of the Banach space X.
@article{bwmeta1.element.bwnjournal-article-smv138i2p135bwm,
author = {P. Cl\'ement and B. de Pagter and F. Sukochev and H. Witvliet},
title = {Schauder decompositions and multiplier theorems},
journal = {Studia Mathematica},
volume = {141},
year = {2000},
pages = {135-163},
zbl = {0955.46004},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-smv138i2p135bwm}
}
Clément, P.; de Pagter, B.; Sukochev, F.; Witvliet, H. Schauder decompositions and multiplier theorems. Studia Mathematica, Tome 141 (2000) pp. 135-163. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-smv138i2p135bwm/
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