On a theorem of Terzioğlu
Authors : Asuman Güven Aksoy
Pages : 258-267
View : 9 | Download : 5
Publication Date : 9999-12-31
Article Type : Makaleler
Abstract :The theory of compact linear operators acting on a Banach space has a classical core and is familiar to many. Perhaps less known is the characterization theorem of Terzioğlu for compact maps. This theorem has a number of important connections that deserves illumination. In this paper we survey Terzioğlu's characterization theorem for compact maps and some of its consequences. We also prove a similar characterization theorem for $Q$-compact maps.Keywords : Compact operators, approximation schemes, $Q$-compact operators