Compact operators between K- and J-spaces

Fernando Cobos; Luz M. Fernández-Cabrera; Antón Martínez

Studia Mathematica (2005)

  • Volume: 166, Issue: 3, page 199-220
  • ISSN: 0039-3223

Abstract

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The paper establishes necessary and sufficient conditions for compactness of operators acting between general K-spaces, general J-spaces and operators acting from a J-space into a K-space. Applications to interpolation of compact operators are also given.

How to cite

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Fernando Cobos, Luz M. Fernández-Cabrera, and Antón Martínez. "Compact operators between K- and J-spaces." Studia Mathematica 166.3 (2005): 199-220. <http://eudml.org/doc/284827>.

@article{FernandoCobos2005,
abstract = {The paper establishes necessary and sufficient conditions for compactness of operators acting between general K-spaces, general J-spaces and operators acting from a J-space into a K-space. Applications to interpolation of compact operators are also given.},
author = {Fernando Cobos, Luz M. Fernández-Cabrera, Antón Martínez},
journal = {Studia Mathematica},
keywords = {compact operators; weakly compact operators; K-spaces; J-spaces},
language = {eng},
number = {3},
pages = {199-220},
title = {Compact operators between K- and J-spaces},
url = {http://eudml.org/doc/284827},
volume = {166},
year = {2005},
}

TY - JOUR
AU - Fernando Cobos
AU - Luz M. Fernández-Cabrera
AU - Antón Martínez
TI - Compact operators between K- and J-spaces
JO - Studia Mathematica
PY - 2005
VL - 166
IS - 3
SP - 199
EP - 220
AB - The paper establishes necessary and sufficient conditions for compactness of operators acting between general K-spaces, general J-spaces and operators acting from a J-space into a K-space. Applications to interpolation of compact operators are also given.
LA - eng
KW - compact operators; weakly compact operators; K-spaces; J-spaces
UR - http://eudml.org/doc/284827
ER -

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