The Lions's problem for Gustavsson-Peetre functor.

E.I. Bereznoi; Mieczyslaw Mastylo

Publicacions Matemàtiques (1990)

  • Volume: 34, Issue: 1, page 175-179
  • ISSN: 0214-1493

Abstract

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The problem of coincidence of the interpolation spaces obtained by use of the interpolation method of Gustavsson-Peetre generated by (parameters) quasi-concave functions is investigated. It is shown that a restriction of this method to the class of all non-trivial Banach couples gives different interpolation spaces whenever two different parameters satisfying some conditions are used.

How to cite

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Bereznoi, E.I., and Mastylo, Mieczyslaw. "The Lions's problem for Gustavsson-Peetre functor.." Publicacions Matemàtiques 34.1 (1990): 175-179. <http://eudml.org/doc/41122>.

@article{Bereznoi1990,
abstract = {The problem of coincidence of the interpolation spaces obtained by use of the interpolation method of Gustavsson-Peetre generated by (parameters) quasi-concave functions is investigated. It is shown that a restriction of this method to the class of all non-trivial Banach couples gives different interpolation spaces whenever two different parameters satisfying some conditions are used.},
author = {Bereznoi, E.I., Mastylo, Mieczyslaw},
journal = {Publicacions Matemàtiques},
keywords = {Espacios de Banach; Interpolación; Lions problem; Gustavsson-Peetre functor; interpolation method of Gustavson-Peetre},
language = {eng},
number = {1},
pages = {175-179},
title = {The Lions's problem for Gustavsson-Peetre functor.},
url = {http://eudml.org/doc/41122},
volume = {34},
year = {1990},
}

TY - JOUR
AU - Bereznoi, E.I.
AU - Mastylo, Mieczyslaw
TI - The Lions's problem for Gustavsson-Peetre functor.
JO - Publicacions Matemàtiques
PY - 1990
VL - 34
IS - 1
SP - 175
EP - 179
AB - The problem of coincidence of the interpolation spaces obtained by use of the interpolation method of Gustavsson-Peetre generated by (parameters) quasi-concave functions is investigated. It is shown that a restriction of this method to the class of all non-trivial Banach couples gives different interpolation spaces whenever two different parameters satisfying some conditions are used.
LA - eng
KW - Espacios de Banach; Interpolación; Lions problem; Gustavsson-Peetre functor; interpolation method of Gustavson-Peetre
UR - http://eudml.org/doc/41122
ER -

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