Remarks on Bounded Operators in Köthe Spaces

Authors: P. B. DJAKOV, T. TERZİOĞLU, M. YURDAKUL, V. P. ZAHARIUTA

Abstract: We prove that if \lambda(A),\lambda(B) and \lambda(C) are Köthe spaces such that L(\lambda(A),\lambda(B)) and L(\lambda(C),\lambda(A)) consist of bounded operators then each operator acting on \lambda(A) that factors over \lambda(B)\widehat\otimes_{\pi} \lambda(C) is bounded.

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