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In Chap. 28 we were concerned with the Riesz theorem on the representation of a continuous linear functional \(\theta: C(E) \rightarrow \mathbb {R}\) , where \(C(E)\) is the Banach space of all real-valued continuous functions defined on a nonempty compact topological space E.

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Linear Continuous Functionals on a Real Hilbert Space

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  • 发表日期：

    2025年

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  • Alexander Kharazishvili

摘要

In Chap. 28 we were concerned with the Riesz theorem on the representation of a continuous linear functional \(\theta: C(E) \rightarrow \mathbb {R}\) , where \(C(E)\) is the Banach space of all real-valued continuous functions defined on a nonempty compact topological space E.