Geodesic
Constructing non-compact operators into $c_0$
Iryna Banakh1 ; Taras Banakh2
1Department of Functional Analysis Ya. Pidstryhach Institute for Applied Problems of Mechanics and Mathematics Naukova 3b Lviv, Ukraine
2Instytut Matematyki Uniwersytet Humanistyczno-Przyrodniczy Jana Kochanowskiego Kielce, Poland and Department of Mathematics Ivan Franko National University of Lviv Universytetska 1 79000, Lviv, Ukraine
Studia Mathematica, Tome 201 (2010) no. 1, pp. 65-67
Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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We prove that for each dense non-compact linear operator $S:X\to Y$ between Banach spaces there is a linear operator $T:Y\to c_0$ such that the operator $TS:X\to c_0$ is not compact. This generalizes the Josefson–Nissenzweig Theorem.
DOI : 10.4064/sm201-1-5
Keywords: prove each dense non compact linear operator between banach spaces there linear operator operator compact generalizes josefson nissenzweig theorem

Iryna Banakh  1   ; Taras Banakh  2

1 Department of Functional Analysis Ya. Pidstryhach Institute for Applied Problems of Mechanics and Mathematics Naukova 3b Lviv, Ukraine
2 Instytut Matematyki Uniwersytet Humanistyczno-Przyrodniczy Jana Kochanowskiego Kielce, Poland and Department of Mathematics Ivan Franko National University of Lviv Universytetska 1 79000, Lviv, Ukraine 
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Iryna Banakh; Taras Banakh. Constructing non-compact operators into $c_0$. Studia Mathematica, Tome 201 (2010) no. 1, pp. 65-67. doi: 10.4064/sm201-1-5

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