Abstract and Applied Analysis
- Abstr. Appl. Anal.
- Volume 2014, Special Issue (2013), Article ID 397376, 6 pages.
Multipliers of Modules of Continuous Vector-Valued Functions
In 1961, Wang showed that if is the commutative -algebra with a locally compact Hausdorff space, then . Later, this type of characterization of multipliers of spaces of continuous scalar-valued functions has also been generalized to algebras and modules of continuous vector-valued functions by several authors. In this paper, we obtain further extension of these results by showing that where and are -normed spaces which are also essential isometric left -modules with being a certain commutative -algebra, not necessarily locally convex. Our results unify and extend several known results in the literature.
Abstr. Appl. Anal., Volume 2014, Special Issue (2013), Article ID 397376, 6 pages.
First available in Project Euclid: 6 October 2014
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Khan, Liaqat Ali; Alsulami, Saud M. Multipliers of Modules of Continuous Vector-Valued Functions. Abstr. Appl. Anal. 2014, Special Issue (2013), Article ID 397376, 6 pages. doi:10.1155/2014/397376. https://projecteuclid.org/euclid.aaa/1412606519