Formal Topology and Constructive Mathematics: the Gelfand and Stone-Yosida Representation Theorems
نویسندگان
چکیده
We present a constructive proof of the Stone-Yosida representation theorem for Riesz spaces motivated by considerations from formal topology. This theorem is used to derive a representation theorem for f-algebras. In turn, this theorem implies the Gelfand representation theorem for C*-algebras of operators on Hilbert spaces as formulated by Bishop and Bridges. Our proof is shorter, clearer, and we avoid the use of approximate eigenvalues.
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ورودعنوان ژورنال:
- J. UCS
دوره 11 شماره
صفحات -
تاریخ انتشار 2005