Geodesic
Multipliers of Mixed-norm Sequence Spaces and Measures of Noncompactness
Publications de l'Institut Mathématique, _N_S_56 (1994) no. 70, p. 61

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Let $l^{p,q}$, $1\le p,\,q\le\infty$, be the mixed-norm 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 : 30B10 47B07 
@article{PIM_1994_N_S_56_70_a7,
     author = {Ivan Jovanovi\'c and Vladimir Rako\v{c}evi\'c},
     title = {Multipliers of {Mixed-norm} {Sequence} {Spaces} and {Measures} of {Noncompactness}},
     journal = {Publications de l'Institut Math\'ematique},
     pages = {61 },
     publisher = {mathdoc},
     volume = {_N_S_56},
     number = {70},
     year = {1994},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/PIM_1994_N_S_56_70_a7/}
}
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Ivan Jovanović; Vladimir Rakočević. Multipliers of Mixed-norm Sequence Spaces and Measures of Noncompactness. Publications de l'Institut Mathématique, _N_S_56 (1994) no. 70, p. 61 . http://geodesic.mathdoc.fr/item/PIM_1994_N_S_56_70_a7/