Browsing by Author "Abdeljawad, T"

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    The Property of Smallness Up To a Complemented Banach Subspace
    (Kossuth Lajos Tudomanyegyetem, 2004) Abdeljawad, T; Abdeljawad, Thabet; Yurdakul, M; Matematik
    This article investigates locally convex spaces which satisfy the property of smallness up to a complemented Banach subspace, the SCBS property, which was introduced by Djakov, Terzioglu, Yurdakul and Zahariuta. It is proved that a bounded perturbation of an automorphism on a complete barrelled locally convex, space with the SCBS is stable up to a Banach subspace. New examples are given, and the relation of the SCBS with the quasinormability is analyzed. It is proved that the Frechet space l(p+) does not satisfy the SCBS, therefore this property is not inherited by subspaces or separated quotients.