Geodesic
Rank $\alpha $ operators on the space $C(T,X)$
Dumitru Popa1
1 Department of Mathematics University of Constanţa 8700 Constanţa, Romania
Colloquium Mathematicum, Tome 91 (2002) no. 2, pp. 255-262.

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

For $0\leq \alpha 1$, an operator $U\in L(X,Y)$ is called a rank $\alpha $ operator if $x_{n}\mathrel {\mathop { \rightarrow }\limits ^{\tau _{\alpha }}}x$ implies $Ux_{n}\rightarrow Ux$ in norm. We give some results on rank $\alpha $ operators, including an interpolation result and a characterization of rank $\alpha $ operators ${U:C(T,X)\rightarrow Y}$ in terms of their representing measures.
DOI : 10.4064/cm91-2-5
Keywords: leq alpha operator called rank alpha operator mathrel mathop rightarrow limits tau alpha implies rightarrow norm results rank alpha operators including interpolation result characterization rank alpha operators x rightarrow terms their representing measures

Dumitru Popa 1

1 Department of Mathematics University of Constanţa 8700 Constanţa, Romania 
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Dumitru Popa. Rank $\alpha $ operators on the space $C(T,X)$. Colloquium Mathematicum, Tome 91 (2002) no. 2, pp. 255-262. doi : 10.4064/cm91-2-5. http://geodesic.mathdoc.fr/articles/10.4064/cm91-2-5/

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