Banach spaces without minimal subspaces – Examples

Valentin Ferenczi[1]; Christian Rosendal[2]

  • [1] Universidade de São Paulo Instituto de Matemática e Estatística Departamento de Matemática rua do Matão, 1010 05508-090 São Paulo, SP, (Brazil)
  • [2] University of Illinois at Chicago Department of Mathematics, Statistics, and Computer Science 851 S. Morgan Street Chicago, IL 60607-7045 (USA)

Annales de l’institut Fourier (2012)

  • Volume: 62, Issue: 2, page 439-475
  • ISSN: 0373-0956

Abstract

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We analyse several examples of separable Banach spaces, some of them new, and relate them to several dichotomies obtained in [11],by classifying them according to which side of the dichotomies they fall.

How to cite

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Ferenczi, Valentin, and Rosendal, Christian. "Banach spaces without minimal subspaces – Examples." Annales de l’institut Fourier 62.2 (2012): 439-475. <http://eudml.org/doc/251144>.

@article{Ferenczi2012,
abstract = {We analyse several examples of separable Banach spaces, some of them new, and relate them to several dichotomies obtained in [11],by classifying them according to which side of the dichotomies they fall.},
affiliation = {Universidade de São Paulo Instituto de Matemática e Estatística Departamento de Matemática rua do Matão, 1010 05508-090 São Paulo, SP, (Brazil); University of Illinois at Chicago Department of Mathematics, Statistics, and Computer Science 851 S. Morgan Street Chicago, IL 60607-7045 (USA)},
author = {Ferenczi, Valentin, Rosendal, Christian},
journal = {Annales de l’institut Fourier},
keywords = {tight Banach spaces; dichotomies; classification of Banach spaces},
language = {eng},
number = {2},
pages = {439-475},
publisher = {Association des Annales de l’institut Fourier},
title = {Banach spaces without minimal subspaces – Examples},
url = {http://eudml.org/doc/251144},
volume = {62},
year = {2012},
}

TY - JOUR
AU - Ferenczi, Valentin
AU - Rosendal, Christian
TI - Banach spaces without minimal subspaces – Examples
JO - Annales de l’institut Fourier
PY - 2012
PB - Association des Annales de l’institut Fourier
VL - 62
IS - 2
SP - 439
EP - 475
AB - We analyse several examples of separable Banach spaces, some of them new, and relate them to several dichotomies obtained in [11],by classifying them according to which side of the dichotomies they fall.
LA - eng
KW - tight Banach spaces; dichotomies; classification of Banach spaces
UR - http://eudml.org/doc/251144
ER -

References

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