PUBLICATIONS DE L'INSTITUT MATHÉMATIQUE (BEOGRAD) (N.S.) Vol. 56(70), pp. 6168 (1994) 

Multipliers of mixednorm sequence spaces and measures of noncompactnessIvan Jovanovi\'c and Vladimir Rakocevi\'cFilozofski fakultet, Nis, YugoslaviaAbstract: Let $l^{p,q}$, $1\le p,\,q\le\infty$, be the mixednorm sequence space. We investigate the Hausdorff measure of noncompactness of the operator $T_\lambda:l^{r,s}\mapsto l^{u,v}$, defined by the multiplier $T_\lambda(a)=\{\lambda_na_n\}$, $\lambda=\{\lambda_n\}\in l^\infty$, $a=\{a_n\}\in l^{r,s}$, and prove necessary and sufficient conditions for $T_\lambda$ to be a compact. Classification (MSC2000): 30B10, 47B07 Full text of the article:
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