We establish interpolation formulæ for operator spaces that are components of a given quasi-normed operator ideal. Sometimes we assume that one of the couples involved is quasi-linearizable, some other times we assume injectivity or surjectivity in the ideal. We also show the necessity of these suppositions.
@article{urn:eudml:doc:41400,
title = {On a result of Peetre about interpolation of operator spaces},
journal = {Publicacions Matem\`atiques},
volume = {44},
year = {2000},
pages = {457-481},
mrnumber = {MR1800818},
zbl = {0979.46013},
language = {en},
url = {http://dml.mathdoc.fr/item/urn:eudml:doc:41400}
}
Cobos, Fernando; Signes, Teresa. On a result of Peetre about interpolation of operator spaces. Publicacions Matemàtiques, Tome 44 (2000) pp. 457-481. http://gdmltest.u-ga.fr/item/urn:eudml:doc:41400/