A note on complex interpolation of Banach lattices

Anita Tabacco Vignati; Marco Vignati

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni (1987)

  • Volume: 81, Issue: 1, page 23-27
  • ISSN: 1120-6330

Abstract

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We complete a result of Hernandez on the complex interpolation for families of Banach lattices.

How to cite

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Tabacco Vignati, Anita, and Vignati, Marco. "A note on complex interpolation of Banach lattices." Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni 81.1 (1987): 23-27. <http://eudml.org/doc/287515>.

@article{TabaccoVignati1987,
abstract = {We complete a result of Hernandez on the complex interpolation for families of Banach lattices.},
author = {Tabacco Vignati, Anita, Vignati, Marco},
journal = {Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni},
keywords = {Banach lattices; Complex interpolation; Concave function; concave function; complex interpolation for families of Banach lattices},
language = {eng},
month = {3},
number = {1},
pages = {23-27},
publisher = {Accademia Nazionale dei Lincei},
title = {A note on complex interpolation of Banach lattices},
url = {http://eudml.org/doc/287515},
volume = {81},
year = {1987},
}

TY - JOUR
AU - Tabacco Vignati, Anita
AU - Vignati, Marco
TI - A note on complex interpolation of Banach lattices
JO - Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni
DA - 1987/3//
PB - Accademia Nazionale dei Lincei
VL - 81
IS - 1
SP - 23
EP - 27
AB - We complete a result of Hernandez on the complex interpolation for families of Banach lattices.
LA - eng
KW - Banach lattices; Complex interpolation; Concave function; concave function; complex interpolation for families of Banach lattices
UR - http://eudml.org/doc/287515
ER -

References

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  1. CALDERON, A.P. (1964) - Intermediate spaces and interpolation, the complex method. «Studia Math.». Zbl0204.13703MR167830
  2. COIFMAN, R., CWIKEL, M., ROCHBERG, R., SAGHER, Y. and WEISS, G. (1982) - A theory of complex interpolation for families of Banach spaces. «Advances in Math.», 33, 203-229. Zbl0501.46065MR648799DOI10.1016/0001-8708(82)90034-2
  3. HERNANDEZ, E. - Intermediate spaces and the complex method of interpolation for families of Banach spaces. «Annali Scuola Normale Superiore di Pisa», to appear. Zbl0617.46078MR876124
  4. TABACCO VIGNATI, A. (1986) - Interpolation of quasi-Banach spaces. Ph.D. Dissertation, Washington University, St. Louis. MR2635223
  5. TABACCO VIGNATI, A. (1986) - Complex interpolation for families of quasi-Banach spaces, preprint. Zbl0628.46071MR942093DOI10.1512/iumj.1988.37.37001
  6. VIGNATI, M. (1986) - Interpolation: geometry and spectra. Ph.D. Dissertation, Washington University, St. Louis. MR2635224

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