Unconditionally convergent series of operators and narrow operators on L1
Vladimir Kadets, Nigel Kalton, Dirk Werner
Abstract
We introduce a class of operators on L1 that is stable under taking sums of pointwise unconditionally convergent series, contains all compact operators and does not contain isomorphic embeddings. It follows that any operator from L1 into a space with an unconditional basis belongs to this class.
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