Linear Continuous Functionals on a Real Hilbert Space

Alexander Kharazishvili
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Alexander Kharazishvili: Tbilisi State University, Andrea Razmadze Mathematical Institute

Chapter Chapter 29 in Lectures on Real-valued Functions, 2025, pp 307-319 from Springer

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

Date: 2025
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DOI: 10.1007/978-3-031-95369-9_29

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