Titlebook: Banach Function Algebras, Arens Regularity, and BSE Norms; Harold Garth Dales,Ali ülger Book 2024 The Editor(s) (if applicable) and The Au

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Harold Garth Dales,Ali ülgerDevelops the theory of Banach algebras.Features novel chapters on BSE norms, Arens regularity, and strong Arens irregularity.Includes new results

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https://doi.org/10.1007/978-3-031-44532-3Banach algebras; Banach function algebras; biduals; Arens products; BSE algebras; harmonic analysis; local

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https://doi.org/10.1007/978-3-662-32924-5In this first chapter, we shall recall some notation and preliminary results within the functional analysis and related subjects that we shall use.

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https://doi.org/10.1007/978-3-7091-7968-0In this chapter, we shall discuss whether many examples of Banach algebras are Arens regular or, at the other extreme, strongly Arens irregular, a concept that will be defined in Definition .. Some Banach algebras have neither of these properties.

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