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Interpolation and operator ideals on Banach $$n$$-tuples. (English) Zbl 1004.46047
Summary: The interpolation of Banach spaces with respect to the operator ideals on Banach $$n$$-tuples ($$n\geq 3$$) is studied. In the first part we introduce the ideals of operators which act between Banach $$n$$-tuples, and in the second one investigate how particular operator ideals behave under interpolation spaces. Special emphasis is given to the case of compact operators.
##### MSC:
 46M35 Abstract interpolation of topological vector spaces 47L20 Operator ideals 46B70 Interpolation between normed linear spaces