Unconditionally convergent series of operators and narrow operators on L₁
classification
🧮 math.FA
keywords
operatorsclassconvergentseriesunconditionallybasisbelongscompact
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We introduce a class of operators on $L_1$ 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 $L_1$ into a space with an unconditional basis belongs to this class.
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