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Properties of Linear and Nonlinear Operators

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Methods of Nonlinear Analysis

Part of the book series: Birkhäuser Advanced Texts Basler Lehrbücher ((BAT))

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Abstract

In this section we point out some fundamental properties of linear operators in Banach spaces. The key assertions presented are the Uniform Boundedness Principle, the Banach–Steinhaus Theorem, the Open Mapping Theorem, the Hahn–Banach Theorem, the Separation Theorem, the Eberlain–Smulyan Theorem and the Banach Theorem.

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© 2013 Birkhäuser Basel

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Drábek, P., Milota, J. (2013). Properties of Linear and Nonlinear Operators. In: Methods of Nonlinear Analysis. Birkhäuser Advanced Texts Basler Lehrbücher. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-0387-8_2

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