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AI Summary & Key Takeaways
AI Insight⚡ TL;DR(Too Long; Didn't Read)
We also prove a similar characterization theorem for $Q$-compact maps.
📌 3 Key Takeaways
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Objective & Hypothesis:The theory of compact linear operators acting on a Banach space has a classical core and is familiar to many.
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Key Findings & Data:Perhaps less known is the characterization theorem of Terzioğlu for compact maps.
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Conclusion & Impact:We also prove a similar characterization theorem for $Q$-compact maps.
🔬Design:Survey & Empirical Study
📍Scope:Comprehensive Sample
⚙️Variables:Compact operators · approximation schemes · $Q$-compact operators
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.
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Cite This Article
AKSOY, A. G. (2019). On a theorem of Terzioğlu. Turkish Journal of Mathematics, Cilt: 43 - Sayı: 1, 258–267. https://ajindex.com/articles/215000