Electronic Resource
Springer
Manuscripta mathematica
20 (1977), S. 73-94
ISSN:
1432-1785
Source:
Springer Online Journal Archives 1860-2000
Topics:
Mathematics
Notes:
Abstract For a dual pair 〈E,F〉 we determine the finest 〈E,F〉 -polar topology on E which has the same subfamily-summable (respectively bounded multiplier summable) families as the weak topology б(E,F). It is shown that these characterizations contain most of the known theorems of the ORLICZ-PETTIS-type for locally convex spaces and also several new results of this type. Some applications to spaces of functions and operators are given.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1007/BF01181241
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