Constructing non-compact operators into c₀
Iryna Banakh ; Taras Banakh
Studia Mathematica, Tome 196 (2010), p. 65-67 / Harvested from The Polish Digital Mathematics Library
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We prove that for each dense non-compact linear operator S: X → Y between Banach spaces there is a linear operator T: Y → c₀ such that the operator TS: X → c₀ is not compact. This generalizes the Josefson-Nissenzweig Theorem.

Publié le : 2010-01-01
EUDML-ID : urn:eudml:doc:285457 
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Iryna Banakh; Taras Banakh. Constructing non-compact operators into c₀. Studia Mathematica, Tome 196 (2010) pp. 65-67. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-sm201-1-5/