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- W641636848 abstract "In this chapter we return to the study of general [Σ, a]-domains using the results for dual pairs <E, F> obtained in the preceding two chapters. It is desirable to review briefly the setting in which the theory of dual pairs may be brought to bear on the study of an arbitrary system [Σ, a]. In the first place, the algebra a, as a linear space with the compact-open topology, is a locally convex topological space (CLTS). Therefore its dual space a', consisting of all continuous linear functional, together with a is a dual pair <a', a. Since point evaluations are continuous linear functionals on a and [Σ, a] is assumed to be a system the mapping where <τ(σ), a> = a(σ) for all a ∈ a, is a homeomorphism of Σ into a', provided a' is given the σ(a', a-topology. Moreover we have the following proposition.KeywordsHolomorphic FunctionPoint EvaluationArbitrary ElementDual PairInductive LimitThese keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves." @default.
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- W641636848 date "1979-01-01" @default.
- W641636848 modified "2023-09-27" @default.
- W641636848 title "Dual Pair Theory Applied to [Σ, a]-Domains" @default.
- W641636848 doi "https://doi.org/10.1007/978-1-4613-8070-2_13" @default.
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