Complex interpolation of compact operators mapping into lattice couples
نویسندگان
چکیده
منابع مشابه
Complex Interpolation of Compact Operators Mapping into Lattice Couples
Suppose that (A0, A1) and (B0, B1) are Banach couples, and that T is a linear operator which maps A0 compactly into B0 and A1 boundedly (or even compactly) into B1. Does this imply that T : [A0, A1]θ → [B0, B1]θ compactly? (Here, as usual, [A0, A1]θ denotes the complex interpolation space of Alberto Calderón.) This question has been open for 44 years. Affirmative answers are known for it in man...
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ژورنال
عنوان ژورنال: Proceedings of the Estonian Academy of Sciences
سال: 2010
ISSN: 1736-6046
DOI: 10.3176/proc.2010.1.04