1972
DOI: 10.2307/2037928
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A Factorization Theorem for Compact Operators

Abstract: It is shown that every compact operator T:E-*F between Banach spaces admits a compact factorization (T=QP where P:E-+c and Q:c-*Fare compact) through a closed subspace c of the Banach space c0 of zero-convergent sequences.

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“…Equivalent formulations of prop-osition (a), in particular, the coincidence of compact operators with the quasi-oo-nuclear operators of Persson/Pietsch [28, p. 56], have been given in [43, Thm. 1] and in [29].…”
Section: Let X Be a Normed Space Y A Banach Space And Let U E L(x Y)mentioning
confidence: 99%
“…Equivalent formulations of prop-osition (a), in particular, the coincidence of compact operators with the quasi-oo-nuclear operators of Persson/Pietsch [28, p. 56], have been given in [43, Thm. 1] and in [29].…”
Section: Let X Be a Normed Space Y A Banach Space And Let U E L(x Y)mentioning
confidence: 99%