Complex interpolation of spaces of operators on l1

• Autorzy: Defant A. , Michels C.
• Języki publikacji: EN

Abstrakty

EN

Within the theory of complex interpolation and 0-Hilbert spaces we extend classical results of Kwapień on absolutely (r,1)-summing operators on l1 with values in lp as well as their natural extensions for mixing operators invented by Maurey. Furthermore, we show that for 1 < p < 2 every operator on l1 with values in a 0-type 2 space, 0 = 2/p', is Rademacher p-summing. This is another extension of Kwapień's results, and by an extrapolation procedure a natural supplement to a statement of Pisier.

Słowa kluczowe

EN

absolutely summing operators; complex interpolation; Grothendieck's theorem; O-Hilbert spaces

PL

interpolacja zespolona; przestrzeń Hilberta; teoria operatora

• Wydawca: Instytut Matematyczny PAN
• Czasopismo: Bulletin of the Polish Academy of Sciences. Mathematics
• Rocznik: 2000
• Tom: Vol. 48, no 3
• Strony: 303--318
• Opis fizyczny: Bibliogr. 31 poz.

Twórcy

autor

Defant A.

• Fachbereich Mathematik, Carl Von Ossietzky Universitilt Oldenburg, Postfach 2503, D-26111 Oldenburg, Germany

autor

Michels C.

• Fachbereich Mathematik, Carl Von Ossietzky Universitilt Oldenburg, Postfach 2503, D-26111 Oldenburg, Germany

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