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Introduction to Operator Theory in Riesz Spaces

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Cover of 'Introduction to Operator Theory in Riesz Spaces'

Table of Contents

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    Book Overview
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    Chapter 1 Lattices and Boolean Algebras
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    Chapter 2 Riesz Spaces
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    Chapter 3 Ideals, Bands and Disjointness
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    Chapter 4 Archimedean Spaces and Convergence
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    Chapter 5 Projections and Dedekind Completeness
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    Chapter 6 Complex Riesz Spaces
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    Chapter 7 Normed Riesz Spaces and Banach Lattices
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    Chapter 8 The Riesz-Fischer Property and Order Continuous Norms
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    Chapter 9 Linear Operators
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    Chapter 10 Order Bounded Operators
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    Chapter 11 Order Continuous Operators
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    Chapter 12 Carriers of Operators
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    Chapter 13 Order Duals and Adjoint Operators
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    Chapter 14 Signed Measures and the Radon-Nikodym Theorem
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    Chapter 15 Linear Functionals on Spaces of Measurable Functions
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    Chapter 16 Embedding into the Bidual
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    Chapter 17 Freudenthal’s Spectral Theorem
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    Chapter 18 Functional Calculas and Multiplication
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    Chapter 19 Complex Operators
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    Chapter 20 Results with the Hahn-Banach Theorem
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    Chapter 21 Spectrum, Resolvent Set and the Krein-Rutman Theorem
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    Chapter 22 Spectral Theory of Positive Operators
Attention for Chapter 4: Archimedean Spaces and Convergence
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