Lobachevskii journal of mathematics, Tome 9 (2001), pp. 15-27
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E. B. da Silva; D. L. Fernandez. Interpolation spaces with function parameter and measures of non-compactness. Lobachevskii journal of mathematics, Tome 9 (2001), pp. 15-27. http://geodesic.mathdoc.fr/item/LJM_2001_9_a2/
@article{LJM_2001_9_a2,
author = {E. B. da Silva and D. L. Fernandez},
title = {Interpolation spaces with function parameter and measures of non-compactness},
journal = {Lobachevskii journal of mathematics},
pages = {15--27},
year = {2001},
volume = {9},
language = {en},
url = {http://geodesic.mathdoc.fr/item/LJM_2001_9_a2/}
}
TY - JOUR
AU - E. B. da Silva
AU - D. L. Fernandez
TI - Interpolation spaces with function parameter and measures of non-compactness
JO - Lobachevskii journal of mathematics
PY - 2001
SP - 15
EP - 27
VL - 9
UR - http://geodesic.mathdoc.fr/item/LJM_2001_9_a2/
LA - en
ID - LJM_2001_9_a2
ER -
%0 Journal Article
%A E. B. da Silva
%A D. L. Fernandez
%T Interpolation spaces with function parameter and measures of non-compactness
%J Lobachevskii journal of mathematics
%D 2001
%P 15-27
%V 9
%U http://geodesic.mathdoc.fr/item/LJM_2001_9_a2/
%G en
%F LJM_2001_9_a2
The behaviour of the measure of non-compactness of an operator acting on interpolation spaces, with function parameter and having one-sided hypothesis is studied. We obtain as corollaries a theorem of Cwikel type and a result to the radius of the essential spectrum of the interpolated operator.