[Banach] Abstract of a paper by G. Androulakis and K. Beanland

This is an announcement for the paper "Descriptive set theoretic methods applied to strictly singular and strictly cosingular operators" by G. Androulakis and K. Beanland.

Abstract: The class of strictly singular operators originating from the dual of a separable Banach space is written as an increasing union of $\omega_1$ subclasses which are defined using the Schreier sets. A question of J. Diestel, of whether a similar result can be stated for strictly cosingular operators, is studied.

Archive classification: math.FA

Mathematics Subject Classification: 47B07, 47A15

The source file(s), AlmostSC.tex: 41247 bytes, is(are) stored in gzipped form as 0806.0056.gz with size 12kb. The corresponding postcript file has gzipped size 95kb.

Submitted from: giorgis@math.sc.edu

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http://front.math.ucdavis.edu/0806.0056

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http://arXiv.org/abs/0806.0056

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