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47b07 (secondary)

Bulletin of the London Mathematical Society (1)

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UNCONDITIONALLY CONVERGENT SERIES OF OPERATORS AND NARROW OPERATORS ON $L_1$
VLADIMIR KADETS, NIGEL KALTON, DIRK WERNER
Journal:

Bulletin of the London Mathematical Society / Volume 37 / Issue 2 / March 2005

Published online by Cambridge University Press:

10 March 2005, pp. 265-274

Print publication:

March 2005
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A class of operators is introduced 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.