On reiteration and the behaviour of weak compactness under certain interpolation methods.

F. Cobos; P. Fernández-Martínez; A. Martínez

Collectanea Mathematica (1999)

  • Volume: 50, Issue: 1, page 53-72
  • ISSN: 0010-0757

Abstract

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This article deals with K- and J-spaces defined by means of polygons. First we establish some reiteration formulae involving the real method, and then we study the behaviour of weakly compact operators. We also show optimality of the weak compactness results.

How to cite

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Cobos, F., Fernández-Martínez, P., and Martínez, A.. "On reiteration and the behaviour of weak compactness under certain interpolation methods.." Collectanea Mathematica 50.1 (1999): 53-72. <http://eudml.org/doc/42601>.

@article{Cobos1999,
abstract = {This article deals with K- and J-spaces defined by means of polygons. First we establish some reiteration formulae involving the real method, and then we study the behaviour of weakly compact operators. We also show optimality of the weak compactness results.},
author = {Cobos, F., Fernández-Martínez, P., Martínez, A.},
journal = {Collectanea Mathematica},
keywords = {Espacios de Banach; Operadores compactos; Polígonos; Interpolación; means of polygons; reiteration formulae; weakly compact operators; interpolation operator from a J-space into a K-space},
language = {eng},
number = {1},
pages = {53-72},
title = {On reiteration and the behaviour of weak compactness under certain interpolation methods.},
url = {http://eudml.org/doc/42601},
volume = {50},
year = {1999},
}

TY - JOUR
AU - Cobos, F.
AU - Fernández-Martínez, P.
AU - Martínez, A.
TI - On reiteration and the behaviour of weak compactness under certain interpolation methods.
JO - Collectanea Mathematica
PY - 1999
VL - 50
IS - 1
SP - 53
EP - 72
AB - This article deals with K- and J-spaces defined by means of polygons. First we establish some reiteration formulae involving the real method, and then we study the behaviour of weakly compact operators. We also show optimality of the weak compactness results.
LA - eng
KW - Espacios de Banach; Operadores compactos; Polígonos; Interpolación; means of polygons; reiteration formulae; weakly compact operators; interpolation operator from a J-space into a K-space
UR - http://eudml.org/doc/42601
ER -

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