Constructing non-compact operators into c₀
classification
🧮 math.FA
keywords
operatorlinearnon-compactbanachcompactconstructingdensegeneralizes
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We prove that for each dense non-compact linear operator $S:X\to Y$ between Banach spaces there is a linear operator $T:Y\to c_0$ such that the operator $TS:X\to c_0$ is not compact. This generalizes the Josefson-Nissenzweig Theorem.
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