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Maharam extensions of positive operators and f-modules

Luxemburg, W. A. J. and de Pagter, B. (2002) Maharam extensions of positive operators and f-modules. Positivity, 6 (2). pp. 147-190. ISSN 1385-1292. doi:10.1023/A:1015249114403.

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The principal result of this paper is the construction of simultaneous extensions of collections of positive linear operators between vector lattices to interval preserving operators (i.e., Maharam operators). This construction is based on some properties of so-called f-modules. The properties and structure of these extension spaces is discussed in some detail.

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Additional Information:© Kluwer Academic Publishers 2002. (Received 25 July 2000; accepted 4 March 2001) Dedicated to the memory of our friend and colleague Pay Huijsmans.
Subject Keywords:Linear Operator; Fourier Analysis; Operator Theory; Potential Theory; Positive Operator
Issue or Number:2
Classification Code:2000 Mathematics Subject Classification: 47B65, 46A40, 06F25
Record Number:CaltechAUTHORS:20181003-152735098
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Official Citation:Luxemburg, W. & de Pagter, B. Positivity (2002) 6: 147.
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:90106
Deposited By: George Porter
Deposited On:06 Oct 2018 14:52
Last Modified:16 Nov 2021 00:40

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