An indecomposable Banach space of continuous functions which has small density
Rogério Augusto dos Santos Fajardo
Fundamenta Mathematicae, Tome 205 (2009), p. 43-63 / Harvested from The Polish Digital Mathematics Library
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Using the method of forcing we construct a model for ZFC where CH does not hold and where there exists a connected compact topological space K of weight ω₁<2ω such that every operator on the Banach space of continuous functions on K is multiplication by a continuous function plus a weakly compact operator. In particular, the Banach space of continuous functions on K is indecomposable.

Publié le : 2009-01-01
EUDML-ID : urn:eudml:doc:283191 
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     title = {An indecomposable Banach space of continuous functions which has small density},
     journal = {Fundamenta Mathematicae},
     volume = {205},
     year = {2009},
     pages = {43-63},
     zbl = {1159.03034},
     language = {en},
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Rogério Augusto dos Santos Fajardo. An indecomposable Banach space of continuous functions which has small density. Fundamenta Mathematicae, Tome 205 (2009) pp. 43-63. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-fm202-1-2/