Decomposable subspaces of Banach spaces.

Manuel González; Antonio Martinón

RACSAM (2003)

  • Volume: 97, Issue: 1, page 33-35
  • ISSN: 1578-7303

Abstract

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We introduce and study the notion of hereditarily A-indecomposable Banach space for A a space ideal. For a hereditarily A-indecomposable space X we show that the operators from X into a Banach space Y can be written as the union of two sets A Φ+(X,Y) and A(X;Y ). For some ideals A defined in terms of incomparability, the first set is open, the second set correspond to a closed operator ideal and the union is disjoint.

How to cite

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González, Manuel, and Martinón, Antonio. "Decomposable subspaces of Banach spaces.." RACSAM 97.1 (2003): 33-35. <http://eudml.org/doc/40953>.

@article{González2003,
abstract = {We introduce and study the notion of hereditarily A-indecomposable Banach space for A a space ideal. For a hereditarily A-indecomposable space X we show that the operators from X into a Banach space Y can be written as the union of two sets A Φ+(X,Y) and A(X;Y ). For some ideals A defined in terms of incomparability, the first set is open, the second set correspond to a closed operator ideal and the union is disjoint.},
author = {González, Manuel, Martinón, Antonio},
journal = {RACSAM},
keywords = {Espacios de Banach; Ideales; Operadores lineales; Operadores de Fredholm; hereditarily indecomposable Banach spaces; space ideals},
language = {eng},
number = {1},
pages = {33-35},
title = {Decomposable subspaces of Banach spaces.},
url = {http://eudml.org/doc/40953},
volume = {97},
year = {2003},
}

TY - JOUR
AU - González, Manuel
AU - Martinón, Antonio
TI - Decomposable subspaces of Banach spaces.
JO - RACSAM
PY - 2003
VL - 97
IS - 1
SP - 33
EP - 35
AB - We introduce and study the notion of hereditarily A-indecomposable Banach space for A a space ideal. For a hereditarily A-indecomposable space X we show that the operators from X into a Banach space Y can be written as the union of two sets A Φ+(X,Y) and A(X;Y ). For some ideals A defined in terms of incomparability, the first set is open, the second set correspond to a closed operator ideal and the union is disjoint.
LA - eng
KW - Espacios de Banach; Ideales; Operadores lineales; Operadores de Fredholm; hereditarily indecomposable Banach spaces; space ideals
UR - http://eudml.org/doc/40953
ER -

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