Unconditionally convergent series of operators and narrow operators on $L_1$

Details Unconditionally convergent series of operators and narrow operators on $L_1$ Unconditionally convergent series of operators and narrow operators on $L_1$

2003-11-19

arxiv.org/abs/math/0311324v1

Bull. London Math. Soc. 37, no.2, 265-274 (2005)

Mathematics

Functional Analysis

Scientific paper

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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