Generalized Lions-Peetre methods of constants and means and operator ideals.

Antonio Manzano; Mieczyslaw Mastylo

Collectanea Mathematica (2007)

  • Volume: 58, Issue: 1, page 45-60
  • ISSN: 0010-0757

Abstract

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We establish results on interpolation of Rosenthal operators, Banach-Saks operators, Asplund operators and weakly compact operators by means of generalized Lions-Peetre methods of constants and means. Applications are presented for the K-method space generated by the Calderón-Lozanovskii space parameters.

How to cite

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Manzano, Antonio, and Mastylo, Mieczyslaw. "Generalized Lions-Peetre methods of constants and means and operator ideals.." Collectanea Mathematica 58.1 (2007): 45-60. <http://eudml.org/doc/41795>.

@article{Manzano2007,
abstract = {We establish results on interpolation of Rosenthal operators, Banach-Saks operators, Asplund operators and weakly compact operators by means of generalized Lions-Peetre methods of constants and means. Applications are presented for the K-method space generated by the Calderón-Lozanovskii space parameters.},
author = {Manzano, Antonio, Mastylo, Mieczyslaw},
journal = {Collectanea Mathematica},
keywords = {Espacios de Banach; Interpolación; Ideal de operadores; interpolation methods of constants and means; Rosenthal operators; Banach-Saks operators; Asplund operators; weakly compact operators},
language = {eng},
number = {1},
pages = {45-60},
title = {Generalized Lions-Peetre methods of constants and means and operator ideals.},
url = {http://eudml.org/doc/41795},
volume = {58},
year = {2007},
}

TY - JOUR
AU - Manzano, Antonio
AU - Mastylo, Mieczyslaw
TI - Generalized Lions-Peetre methods of constants and means and operator ideals.
JO - Collectanea Mathematica
PY - 2007
VL - 58
IS - 1
SP - 45
EP - 60
AB - We establish results on interpolation of Rosenthal operators, Banach-Saks operators, Asplund operators and weakly compact operators by means of generalized Lions-Peetre methods of constants and means. Applications are presented for the K-method space generated by the Calderón-Lozanovskii space parameters.
LA - eng
KW - Espacios de Banach; Interpolación; Ideal de operadores; interpolation methods of constants and means; Rosenthal operators; Banach-Saks operators; Asplund operators; weakly compact operators
UR - http://eudml.org/doc/41795
ER -

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