Property (wM*) and the unconditional metric compact approximation property

Ăsvald Lima

Studia Mathematica (1995)

  • Volume: 113, Issue: 3, page 249-263
  • ISSN: 0039-3223

Abstract

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The main objective of this paper is to give a simple proof for a larger class of spaces of the following theorem of Kalton and Werner. (a) X has property (M*), and (b) X has the metric compact approximation property Our main tool is a new property (wM*) which we show to be closely related to the unconditional metric approximation property.

How to cite

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Lima, Ăsvald. "Property (wM*) and the unconditional metric compact approximation property." Studia Mathematica 113.3 (1995): 249-263. <http://eudml.org/doc/216173>.

@article{Lima1995,
abstract = {The main objective of this paper is to give a simple proof for a larger class of spaces of the following theorem of Kalton and Werner. (a) X has property (M*), and (b) X has the metric compact approximation property Our main tool is a new property (wM*) which we show to be closely related to the unconditional metric approximation property.},
author = {Lima, Ăsvald},
journal = {Studia Mathematica},
keywords = {-ideal; metric compact approximation property; unconditional metric approximation property},
language = {eng},
number = {3},
pages = {249-263},
title = {Property (wM*) and the unconditional metric compact approximation property},
url = {http://eudml.org/doc/216173},
volume = {113},
year = {1995},
}

TY - JOUR
AU - Lima, Ăsvald
TI - Property (wM*) and the unconditional metric compact approximation property
JO - Studia Mathematica
PY - 1995
VL - 113
IS - 3
SP - 249
EP - 263
AB - The main objective of this paper is to give a simple proof for a larger class of spaces of the following theorem of Kalton and Werner. (a) X has property (M*), and (b) X has the metric compact approximation property Our main tool is a new property (wM*) which we show to be closely related to the unconditional metric approximation property.
LA - eng
KW - -ideal; metric compact approximation property; unconditional metric approximation property
UR - http://eudml.org/doc/216173
ER -

References

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  17. [17] Å. Lima, Intersection properties of balls and subspaces in Banach spaces, Trans. Amer. Math. Soc. 227 (1977), 1-62. Zbl0347.46017
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  19. [19] Å. Lima, The metric approximation property, norm-one projections and intersection properties of balls, Israel J. Math. 84 (1993), 451-475. Zbl0814.46016
  20. [20] Å. Lima, E. Oja, T. S. S. R. K. Rao and D. Werner, Geometry of operator spaces, Michigan Math. J., to appear. Zbl0823.46023
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  24. [24] D. Werner, Denting points in tensor products of Banach spaces, Proc. Amer. Math. Soc. 101 (1987), 122-126. Zbl0647.46018

Citations in EuDML Documents

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  1. J. Cabello, E. Nieto, An ideal characterization of when a subspace of certain Banach spaces has the metric compact approximation property
  2. Kamil John, Dirk Werner, M -ideals of compact operators into p
  3. Kamil John, U-ideals of factorable operators
  4. Trond A. Abrahamsen, Asvald Lima, Vegard Lima, Unconditional ideals of finite rank operators
  5. Åsvald Lima, Eve Oja, Ideals of finite rank operators, intersection properties of balls, and the approximation property
  6. Rainis Haller, Marje Johanson, Eve Oja, M ( r , s ) -ideals of compact operators

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