The Riesz decomposition property for the space of regular operators

Dăneţ, Nicolae

doi:10.1090/S0002-9939-00-05592-1

The Riesz decomposition property for the space of regular operators
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by Nicolae Dăneţ PDF

Proc. Amer. Math. Soc. 129 (2001), 539-542 Request permission

Abstract:

If $E$ and $F$ are Banach lattices such that $E$ is separable and $F$ has the countable interpolation property, then the space of all continuous regular operators $\mathcal {L}$$^r(E,F)$ has the Riesz decomposition property. This result is a positive answer to a conjecture posed by A. W. Wickstead.

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