Measures related to operator ideals and Sparr's interpolation methods

TitleMeasures related to operator ideals and Sparr's interpolation methods
Publication TypeJournal Article
Year of Publication2008
AuthorsBărbătei O., Cofan N., Stan I.
JournalAnnuaire de l’Université de Sofia “St. Kliment Ohridski”. Faculté de Mathématiques et Informatique
Volume98
KeywordsInterpolation of compact operators, operator ideals
Abstract

We establish an estimate for the outer measure $\gamma_I(T)$ and the inner measure $\beta_I(T)$ of an operator $T$ acting between some intermediate spaces constructed for $n$-tuples of Banach spaces. We also show that many operator ideals have the strong interpolation property for Sparr's interpolation methods.

2000 MSC

main 46B70, secondary 47D50

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