# Decomposable subspaces of Banach spaces.

Manuel González; Antonio Martinón

RACSAM (2003)

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

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topGonzález, 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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