On Banach spaces C(K) isomorphic to c₀(Γ)
Witold Marciszewski
Studia Mathematica, Tome 157 (2003), p. 295-302 / Harvested from The Polish Digital Mathematics Library
Access to full text
Full (PDF)

We give a characterization of compact spaces K such that the Banach space C(K) is isomorphic to the space c₀(Γ) for some set Γ. As an application we show that there exists an Eberlein compact space K of weight ωω and with the third derived set K(3) empty such that the space C(K) is not isomorphic to any c₀(Γ). For this compactum K, the spaces C(K) and c₀(ωω) are examples of weakly compactly generated (WCG) Banach spaces which are Lipschitz isomorphic but not isomorphic.

Publié le : 2003-01-01
EUDML-ID : urn:eudml:doc:284565 
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-sm156-3-6,
     author = {Witold Marciszewski},
     title = {On Banach spaces C(K) isomorphic to c0(G)},
     journal = {Studia Mathematica},
     volume = {157},
     year = {2003},
     pages = {295-302},
     zbl = {1026.46005},
     language = {en},
     url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-sm156-3-6}
}

Witold Marciszewski. On Banach spaces C(K) isomorphic to c₀(Γ). Studia Mathematica, Tome 157 (2003) pp. 295-302. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-sm156-3-6/