Schauder decompositions and multiplier theorems

P. Clément; B. de Pagter; F. Sukochev; H. Witvliet

Studia Mathematica (2000)

  • Volume: 138, Issue: 2, page 135-163
  • ISSN: 0039-3223

Abstract

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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 L p -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.

How to cite

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Clément, P., et al. "Schauder decompositions and multiplier theorems." Studia Mathematica 138.2 (2000): 135-163. <http://eudml.org/doc/216695>.

@article{Clément2000,
abstract = {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 $L^p$-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.},
author = {Clément, P., de Pagter, B., Sukochev, F., Witvliet, H.},
journal = {Studia Mathematica},
keywords = {Marcinkiewicz-type multiplier theorems; -boundedness; Schauder decomposition},
language = {eng},
number = {2},
pages = {135-163},
title = {Schauder decompositions and multiplier theorems},
url = {http://eudml.org/doc/216695},
volume = {138},
year = {2000},
}

TY - JOUR
AU - Clément, P.
AU - de Pagter, B.
AU - Sukochev, F.
AU - Witvliet, H.
TI - Schauder decompositions and multiplier theorems
JO - Studia Mathematica
PY - 2000
VL - 138
IS - 2
SP - 135
EP - 163
AB - 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 $L^p$-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.
LA - eng
KW - Marcinkiewicz-type multiplier theorems; -boundedness; Schauder decomposition
UR - http://eudml.org/doc/216695
ER -

References

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