On strongly $l_{p}$-summing m-linear operators

• Autorzy: Lahcène Mezrag
• Języki publikacji: EN

Abstrakty

EN

We introduce and study a new concept of strongly $l_{p}$-summing m-linear operators in the category of operator spaces. We give some characterizations of this notion such as the Pietsch domination theorem and we show that an m-linear operator is strongly $l_{p}$-summing if and only if its adjoint is $l_{p}$-summing.

Kategorie tematyczne

• 46B15: Summability and bases
• 46B28: Spaces of operators; tensor products; approximation properties

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Colloquium Mathematicum
• Rocznik: 2008
• Tom: 111
• Numer: 1
• Strony: 59-70

Daty

wydano

2008

Twórcy

autor

Lahcène Mezrag

• Laboratoire de Mathématiques Pures et Appliquées, Université de M'sila, BP 166 Ichbilia, 28003 M'sila, Algérie

Identyfikatory

DOI

10.4064/cm111-1-6