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. Trond A. Abrahamsen, Asvald Lima, Vegard Lima, Unconditional ideals of finite rank operators
  4. Kamil John, U-ideals of factorable 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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