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The Riesz decomposition property for the space of regular operators
Authors:Nicolae Danet
Institution:Technical University of Civil Engineering of Bucharest, 122-124, Lacul Tei Blvd., 72302 Bucharest, Romania
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.

Keywords:Banach lattices  regular operators  Riesz decomposition property
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