Multipliers of Modules of Continuous Vector-Valued Functions
In 1961, Wang showed that if A is the commutative C*-algebra C0(X) with X a locally compact Hausdorff space, then M(C0(X))≅Cb(X). 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...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2014-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2014/397376 |
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| Summary: | In 1961, Wang showed that if A is the commutative C*-algebra C0(X) with X a locally compact Hausdorff space, then M(C0(X))≅Cb(X). 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 HomC0(X,A)(C0(X,E),C0(X,F))≃Cs,b(X,HomA(E,F)), where E and F are p-normed spaces which are also essential isometric left A-modules with A being a certain commutative F-algebra, not necessarily locally convex. Our results unify and extend several known results in the literature. |
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| ISSN: | 1085-3375 1687-0409 |