Measures related to operator ideals and Sparr's interpolation methods

ЗаглавиеMeasures related to operator ideals and Sparr's interpolation methods
Вид публикацияJournal Article
Година на публикуване2008
АвториBărbătei O., Cofan N., Stan I.
СписаниеAnnuaire de l’Université de Sofia “St. Kliment Ohridski”. Faculté de Mathématiques et Informatique
Том98
ключови думиInterpolation of compact operators, operator ideals
Резюме

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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