Up-down theorems in the centre of Lb(E,F)

G. J.H.M. Buskes; P. G. Dodds; B. de Pagter; A. R. Schep

doi:10.1016/1385-7258(86)90001-6

Up-down theorems in the centre of L_b(E,F)

G. J.H.M. Buskes, P. G. Dodds, B. de Pagter, A. R. Schep

Research output: Contribution to journal › Article › peer-review

5 Citations (Scopus)

Abstract

If E and F are Riesz spaces, several theorems are given which describe the centre of the space of order bounded operators from E to F in terms of the monotone closure of certain sublattices constructed from the centres of E and F. The methods yield an alternative approach to an approximation theorem of Kalton and Saab for positive operators on Banach lattices.

Original language	English
Pages (from-to)	1-9
Number of pages	9
Journal	Indagationes Mathematicae (Proceedings)
Volume	89
Issue number	1
DOIs	https://doi.org/10.1016/1385-7258(86)90001-6
Publication status	Published - 1986

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abstract = "If E and F are Riesz spaces, several theorems are given which describe the centre of the space of order bounded operators from E to F in terms of the monotone closure of certain sublattices constructed from the centres of E and F. The methods yield an alternative approach to an approximation theorem of Kalton and Saab for positive operators on Banach lattices.",

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AU - de Pagter, B.

AU - Schep, A. R.

PY - 1986

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AB - If E and F are Riesz spaces, several theorems are given which describe the centre of the space of order bounded operators from E to F in terms of the monotone closure of certain sublattices constructed from the centres of E and F. The methods yield an alternative approach to an approximation theorem of Kalton and Saab for positive operators on Banach lattices.

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Up-down theorems in the centre of L_b(E,F)

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