Abdeljawad, TYurdakul, MMatematik2021-12-142021-12-142004Abdeljawad, Thabet; Yurdakul, M. (2004). "The property of smallness up to a complemented Banach subspace", Publicationes Mathematicae-Debrecen, Vol. 64, No. 3-4, pp. 415-425.0033-3883Abdeljawad, Thabet/0000-0002-8889-3768This 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.eninfo:eu-repo/semantics/closedAccessThe Scbs PropertyThe Conditions (Qn)(An)L-KotheSpacesThe Space L(P)+Bounded Factorization PropertyDouady'S LemmaComplemented Banach SubspacesArticle643-44154252-s2.0-2442459667WOS:000221865000014Q3Q3