Abstract
In this paper, we characterize compact linear operators from Banach function spaces to Banach spaces by means of approximations with bounded homogeneous maps. To do so, we undertake a detailed study of such maps, proving a factorization theorem and paying special attention to the equivalent strong domination property involved. Some applications to compact maximal extensions of operators are also given.
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Rueda, P., Sánchez-Pérez, E.A. Factorization Theorems for Homogeneous Maps on Banach Function Spaces and Approximation of Compact Operators. Mediterr. J. Math. 12, 89–115 (2015). https://doi.org/10.1007/s00009-014-0384-3
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DOI: https://doi.org/10.1007/s00009-014-0384-3