Electronic Resource
Springer
Manuscripta mathematica
9 (1973), S. 9-27
ISSN:
1432-1785
Source:
Springer Online Journal Archives 1860-2000
Topics:
Mathematics
Notes:
Abstract Order continuity of the norm (resp. of linear forms) on a Banach lattice is described within the framework of the representation theory developped by Lotz [2] and Schaefer [11]. Using the structure space of a Banach lattice, new characterizations of order continuity are obtained, and known characterizations-such as the theorem of Lozanovskii [3]-are proved by mainly topological methods.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1007/BF01320666
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