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Factoring compact operators

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Abstract

We consider the following problem: Does there exist a separable Banach spaceZ such that every compact operator can be factored as a productTS withT, S compact, rangeS=DomainT=Z? Our investigation yields a reasonable partial solution to this problem as well as the following independent result: A Banach space which has theλ-metric approximation property can be embedded as a complemented subspace of aπ λ space.

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Authors and Affiliations

  1. University of Houston, Houston, Texas

    William B. Johnson

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  1. William B. Johnson
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Johnson, W.B. Factoring compact operators. Israel J. Math. 9, 337–345 (1971). https://doi.org/10.1007/BF02771684

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  • DOI: https://doi.org/10.1007/BF02771684

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