Interpolation of real method spaces via some ideals of operators

• Autorzy: Mieczysław Mastyło , Mario Milman
• Języki publikacji: EN

Abstrakty

EN

Certain operator ideals are used to study interpolation of operators between spaces generated by the real method. Using orbital equivalence a new reiteration formula is proved for certain real interpolation spaces generated by ordered pairs of Banach lattices of the form $(X,L_∞(w))$. As an application we extend Ovchinnikov's interpolation theorem from the context of classical Lions-Peetre spaces to a larger class of real interpolation spaces. A description of certain abstract J-method spaces is also presented.

Kategorie tematyczne

• 46M35: Abstract interpolation of topological vector spaces

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Studia Mathematica
• Rocznik: 1999
• Tom: 136
• Numer: 1
• Strony: 17-35

Daty

wydano

1999

otrzymano

1998-06-20

Twórcy

autor

Mieczysław Mastyło

• Faculty of Mathematics and Computer Science, A. Mickiewicz University, Matejki 48/49 60-769 Poznań, Poland

autor

Mario Milman

• Department of Mathematics, Florida Atlantic University, Boca Raton, FL 33431, U.S.A.

Bibliografia

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