Copies of lp in tensor products.

Fernando Blasco

Extracta Mathematicae (2000)

  • Volume: 15, Issue: 2, page 283-290
  • ISSN: 0213-8743

Abstract

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The problem of finding complemented copies of lp in another space is a classical problem in Functional Analysis and has been studied from different points of view in the literature. Here we pay attention to complementation of lp in an n-fold tensor product of lq spaces because we were lead to that result in the study of Grothendieck's Problème des topologies as we shall comment later.

How to cite

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Blasco, Fernando. "Copies of lp in tensor products.." Extracta Mathematicae 15.2 (2000): 283-290. <http://eudml.org/doc/38633>.

@article{Blasco2000,
abstract = {The problem of finding complemented copies of lp in another space is a classical problem in Functional Analysis and has been studied from different points of view in the literature. Here we pay attention to complementation of lp in an n-fold tensor product of lq spaces because we were lead to that result in the study of Grothendieck's Problème des topologies as we shall comment later.},
author = {Blasco, Fernando},
journal = {Extracta Mathematicae},
keywords = {Espacios de Banach; Producto tensorial; Espacio de Grothendieck; complemented subspace; tensor products},
language = {eng},
number = {2},
pages = {283-290},
title = {Copies of lp in tensor products.},
url = {http://eudml.org/doc/38633},
volume = {15},
year = {2000},
}

TY - JOUR
AU - Blasco, Fernando
TI - Copies of lp in tensor products.
JO - Extracta Mathematicae
PY - 2000
VL - 15
IS - 2
SP - 283
EP - 290
AB - The problem of finding complemented copies of lp in another space is a classical problem in Functional Analysis and has been studied from different points of view in the literature. Here we pay attention to complementation of lp in an n-fold tensor product of lq spaces because we were lead to that result in the study of Grothendieck's Problème des topologies as we shall comment later.
LA - eng
KW - Espacios de Banach; Producto tensorial; Espacio de Grothendieck; complemented subspace; tensor products
UR - http://eudml.org/doc/38633
ER -

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