Banach spaces without minimal subspaces – Examples

Ferenczi, Valentin; Rosendal, Christian

doi:10.5802/aif.2684

Banach spaces without minimal subspaces – Examples
[Exemples d’espaces de Banach]

Ferenczi, Valentin ¹ ; Rosendal, Christian 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, Tome 62 (2012) no. 2, pp. 439-475.

Résumé
Abstract

Plusieurs exemples d’espaces de Banach séparables, dont certains sont nouveaux, sont analysés, et reliés à plusieurs dichotomies obtenues dans [11]. Ces exemples sont classifiés en fonction de quelle alternative de chaque dichotomie ils satisfont.

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.

MR Zbl

DOI : 10.5802/aif.2684

Classification : 46B03, 03E15
Keywords: tight Banach spaces, dichotomies, classification of Banach spaces
Mot clés : espaces de Banach étroits, dichotomies, classification des espaces de Banach

Affiliations des auteurs :

Ferenczi, Valentin ¹ ; Rosendal, Christian ²

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     title = {Banach spaces without minimal subspaces {\textendash} {Examples}},
     journal = {Annales de l'Institut Fourier},
     pages = {439--475},
     publisher = {Association des Annales de l{\textquoteright}institut Fourier},
     volume = {62},
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     year = {2012},
     doi = {10.5802/aif.2684},
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Ferenczi, Valentin; Rosendal, Christian. Banach spaces without minimal subspaces – Examples. Annales de l'Institut Fourier, Tome 62 (2012) no. 2, pp. 439-475. doi : 10.5802/aif.2684. http://www.numdam.org/articles/10.5802/aif.2684/

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