Hausdorff Measures of Noncompactness and Interpolation Spaces
Serdica Mathematical Journal, Tome 32 (2006) no. 2-3, pp. 179-184
Cet article a éte moissonné depuis la source Bulgarian Digital Mathematics Library
A new measure of noncompactness on Banach spaces is defined from the Hausdorff measure of noncompactness, giving a quantitative version of a classical result by R. S. Phillips. From the main result, classical results are obtained now as corollaries and we have an application to interpolation theory of Banach spaces.
Keywords:
Banach Spaces, Measures of Noncompactness, Interpolation
@article{SMJ2_2006_32_2-3_a2,
author = {da Silva, Eduardo Brandani and Fernanadez, Dicesar L.},
title = {Hausdorff {Measures} of {Noncompactness} and {Interpolation} {Spaces}},
journal = {Serdica Mathematical Journal},
pages = {179--184},
year = {2006},
volume = {32},
number = {2-3},
language = {en},
url = {http://geodesic.mathdoc.fr/item/SMJ2_2006_32_2-3_a2/}
}
TY - JOUR AU - da Silva, Eduardo Brandani AU - Fernanadez, Dicesar L. TI - Hausdorff Measures of Noncompactness and Interpolation Spaces JO - Serdica Mathematical Journal PY - 2006 SP - 179 EP - 184 VL - 32 IS - 2-3 UR - http://geodesic.mathdoc.fr/item/SMJ2_2006_32_2-3_a2/ LA - en ID - SMJ2_2006_32_2-3_a2 ER -
da Silva, Eduardo Brandani; Fernanadez, Dicesar L. Hausdorff Measures of Noncompactness and Interpolation Spaces. Serdica Mathematical Journal, Tome 32 (2006) no. 2-3, pp. 179-184. http://geodesic.mathdoc.fr/item/SMJ2_2006_32_2-3_a2/