A WEAK CONVERGENCE IN A <TEX>${\sigma}-COMPLETE$</TEX> ABSTRACT M SPACE
한국수학교육학회지시리즈B:순수및응용수학 / Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics, (P)1226-0657; (E)2287-6081
1999, v.6 no.1, pp.47-52
Lee, Joung-Nam
(Department of Natural Sciences, Seoul National University of Technology)
Lee, Joung-Nam.
(1999). A WEAK CONVERGENCE IN A <TEX>${\sigma}-COMPLETE$</TEX> ABSTRACT M SPACE. 한국수학교육학회지시리즈B:순수및응용수학, 6(1), 47-52.
Abstract
In this note we give a characterization on weak convergence of bounded linear functionals in <TEX>$\sigma$</TEX>-complete abstract M spaces.
- keywords
-
Banach lattice,
M space,
<tex> ${\sigma}-complete$</tex>