The modulus of a weakly compact operator
type: Item
instance of: scholarly article
title: The modulus of a weakly compact operator
zbMATH Open document ID: 0611.47032
DOI: 10.1007/BF01166700
published in: Mathematische Zeitschrift
publication date: 1987-01-01T00:00:00Z
full work available at URL: https://eudml.org/doc/183709
review text: We answer the following two questions: (I) What order complete Banach lattices E have the property: if K is a compact Hausdorff space, then every weakly compact operator C(K)\(\to E\) is regular (in the sense of Riesz space theory)? (II) What weakly Fatou order complete Banach lattices E have the property: if K is a compact Hausdorff space and if T is a regular compact operator C(K)\(\to E\), then \(| T|\) is weakly compact?
Mathematics Subject Classification ID: 47B60
Mathematics Subject Classification ID: 46B42
zbMATH DE Number: 3988052
zbMATH Keywords: Riesz space
zbMATH Keywords: weakly Fatou order complete Banach lattices
author: G. L. M. Groenewegen
author: A. C. M. van Rooij
MaRDI profile type: Publication
cites work: Q3748810
cites work: Q3281340
cites work: Q4148368
cites work: Q3778472
cites work: Q5723435
cites work: Q5726902
cites work: Q4049667
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description: scientific article; zbMATH DE number 3988052