Operators and Matrices. Vol.3, No.3 (2009), 373-396
Suggested Citation
Orapin Wootijiruttikal, S. C. Ong, P. Chaisuriya, J. Rakbud Banach spaces of functions taking values in a C* -algebra. Operators and Matrices. Vol.3, No.3 (2009), 373-396. doi:10.7153/oam-03-22 Retrieved from: https://repository.li.mahidol.ac.th/handle/20.500.14594/27786
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Banach spaces of functions taking values in a C* -algebra
Let A be a C* -algebra with identity 1; and let s(A) denote the set of all states on A. The state space s(A) (with the weak* topology) is used to construct classes of Banach spaces of functions defined on a fixed set S taking values in A. The inter-relationship between spaces are considered. Special classes of operators on these spaces are also considered. When A is taken to be C and S to be N, all spaces are just the classical spaces.
