Characterisations of partially continuous, strictly cosingular and φ- type operators

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15 صفحه اول

m at h . FA ] 3 1 M ay 2 00 8 DESCRIPTIVE SET THEORETIC METHODS APPLIED TO STRICTLY SINGULAR AND STRICTLY COSINGULAR OPERATORS

The class of strictly singular operators originating from the dual of a separable Banach space is written as an increasing union of ω1 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.

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ژورنال

عنوان ژورنال: Glasgow Mathematical Journal

سال: 1991

ISSN: 0017-0895,1469-509X

DOI: 10.1017/s0017089500008235