Bulletin of the Korean Mathematical Society (대한수학회보)
- Volume 29 Issue 2
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- Pages.215-220
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- 1992
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- 1015-8634(pISSN)
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- 2234-3016(eISSN)
Bounded multiplier convergent series and its applications
- Li, Rong-Lu (Department of Mathematics, Harbin Institute of Technology) ;
- Cho, Min-Hyung (Department of Applied Mathematics, Kum-Oh National Institute of Technology)
- Published : 1992.08.01
Abstract
Using a matrix method, pp. Antosik and C. Swartz have obtained a series of nice properties of bounded multiplier convergent (BMC) series on metric linear spaces ([1],[8],[9]). In this paper, we establish a basic property of BMC series on topological vector spaces which is a generalization of a result due to J. Batt([2], Th.2). From this, we have obtained a kind of inclusion theorem of operator spaces. This theorem yields a nice result on infinite systems of linear equations.
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