Some remarks on the equality W ( E , F * ) = K ( E , F * )

Giovanni Emmanuele

Archivum Mathematicum (1998)

  • Volume: 034, Issue: 4, page 417-425
  • ISSN: 0044-8753

Abstract

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We show that the equality W ( E , F * ) = K ( E , F * ) is a necessary condition for the validity of certain results about isomorphic properties in the projective tensor product E ⊗ π F of two Banach spaces under some approximation property type assumptions.

How to cite

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Emmanuele, Giovanni. "Some remarks on the equality $W(E,F^\ast ) = K(E,F^\ast )$." Archivum Mathematicum 034.4 (1998): 417-425. <http://eudml.org/doc/248201>.

@article{Emmanuele1998,
abstract = {We show that the equality $W(E,F^\ast )=K(E,F^\ast )$ is a necessary condition for the validity of certain results about isomorphic properties in the projective tensor product $E \otimes _\pi F$ of two Banach spaces under some approximation property type assumptions.},
author = {Emmanuele, Giovanni},
journal = {Archivum Mathematicum},
keywords = {operator spaces; isomorphic properties; approximation properties; isomorphic properties; approximation properties; spaces of operators; projective tensor product; approximation property},
language = {eng},
number = {4},
pages = {417-425},
publisher = {Department of Mathematics, Faculty of Science of Masaryk University, Brno},
title = {Some remarks on the equality $W(E,F^\ast ) = K(E,F^\ast )$},
url = {http://eudml.org/doc/248201},
volume = {034},
year = {1998},
}

TY - JOUR
AU - Emmanuele, Giovanni
TI - Some remarks on the equality $W(E,F^\ast ) = K(E,F^\ast )$
JO - Archivum Mathematicum
PY - 1998
PB - Department of Mathematics, Faculty of Science of Masaryk University, Brno
VL - 034
IS - 4
SP - 417
EP - 425
AB - We show that the equality $W(E,F^\ast )=K(E,F^\ast )$ is a necessary condition for the validity of certain results about isomorphic properties in the projective tensor product $E \otimes _\pi F$ of two Banach spaces under some approximation property type assumptions.
LA - eng
KW - operator spaces; isomorphic properties; approximation properties; isomorphic properties; approximation properties; spaces of operators; projective tensor product; approximation property
UR - http://eudml.org/doc/248201
ER -

References

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