On a theorem of Terzioğlu

Authors: ASUMAN GÜVEN AKSOY

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

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