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Extension of operators between Lebesgue spaces. (English) Zbl 1163.47303

Summary: We study the extensibility of the operator limit of a sequence of operators between spaces of summable functions with respect to three suitable types of convergence of operators when each operator in the sequence is extendible to a wider space of summable functions.

MSC:

47B38 Linear operators on function spaces (general)
47A30 Norms (inequalities, more than one norm, etc.) of linear operators
47A20 Dilations, extensions, compressions of linear operators
47N20 Applications of operator theory to differential and integral equations
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