Estimation of the position of intermediate spaces for a Banach couple
Studia Mathematica, Tome 107 (1993) no. 2, pp. 137-155
Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences
The position of intermediate spaces for a Banach couple is estimated with the help of its fundamental function and co-function. We study the completeness of the collection of all such functions, and the methods of calculating and estimating them for different couples. Finally, these functions are used to compare the position of spaces obtained under the action of some interpolation functors.
@article{10_4064_sm_107_2_137_155,
author = {Evgenii Pustylnik},
title = {Estimation of the position of intermediate spaces for a {Banach} couple},
journal = {Studia Mathematica},
pages = {137--155},
year = {1993},
volume = {107},
number = {2},
doi = {10.4064/sm-107-2-137-155},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.4064/sm-107-2-137-155/}
}
TY - JOUR AU - Evgenii Pustylnik TI - Estimation of the position of intermediate spaces for a Banach couple JO - Studia Mathematica PY - 1993 SP - 137 EP - 155 VL - 107 IS - 2 UR - http://geodesic.mathdoc.fr/articles/10.4064/sm-107-2-137-155/ DO - 10.4064/sm-107-2-137-155 LA - en ID - 10_4064_sm_107_2_137_155 ER -
Evgenii Pustylnik. Estimation of the position of intermediate spaces for a Banach couple. Studia Mathematica, Tome 107 (1993) no. 2, pp. 137-155. doi: 10.4064/sm-107-2-137-155
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