Lectures on Real-valued Functions
Alexander Kharazishvili ()
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Alexander Kharazishvili: Tbilisi State University, Andrea Razmadze Mathematical Institute
in Springer Books from Springer
Date: 2025
ISBN: 978-3-031-95369-9
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Chapters in this book:
- Ch Chapter 1 Unary and Binary Relations
- Alexander Kharazishvili
- Ch Chapter 10 Semicontinuous Real-Valued Functions on Quasi-Compact Spaces
- Alexander Kharazishvili
- Ch Chapter 11 The Banach–Steinhaus Theorem
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- Ch Chapter 12 A Characterization of Oscillation Functions
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- Ch Chapter 13 Semicontinuity Versus Continuity
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- Ch Chapter 14 Outer Measures
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- Ch Chapter 15 Finitely Additive and Countably Additive Measures
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- Ch Chapter 16 Extensions of Measures
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- Ch Chapter 17 Caratheodory’s and Marczewski’s Extension Theorems
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- Ch Chapter 18 Positive Linear Functionals
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- Ch Chapter 19 The Nonexistence of Universal Countably Additive Measures
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- Ch Chapter 2 Partial Functions and Functions
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- Ch Chapter 20 Radon Measures
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- Ch Chapter 21 Invariant and Quasi-Invariant Measures
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- Ch Chapter 22 Pointwise Limits of Finite Sums of Periodic Functions
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- Ch Chapter 23 Absolutely Nonmeasurable Sets in Commutative Groups
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- Ch Chapter 24 Radon Spaces
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- Ch Chapter 25 Nonmeasurable Sets with Respect to Radon Measures
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- Ch Chapter 26 The Radon–Nikodym Theorem
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- Ch Chapter 27 Decompositions of Linear Functionals
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- Ch Chapter 28 Linear Continuous Functionals and Radon Measures
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- Ch Chapter 29 Linear Continuous Functionals on a Real Hilbert Space
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- Ch Chapter 3 Elementary Facts on Cardinal Numbers
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- Ch Chapter 30 The Baire Property in Topological Spaces
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- Ch Chapter 31 The Stone–Weierstrass Theorem
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- Ch Chapter 32 More on the Function Space C ( X ) $$C(X)$$
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- Ch Chapter 33 Uniformization of Plane Sets by Relatively Measurable Functions
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- Ch Chapter 4 Some Properties of the Continuum
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- Ch Chapter 5 The Oscillation of a Real-Valued Function at a Point
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- Ch Chapter 6 Points of Continuity and Discontinuity of Real-Valued Functions
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- Ch Chapter 7 Real-Valued Monotone Functions
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- Ch Chapter 8 Real-Valued Convex Functions
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- Ch Chapter 9 Semicontinuity of a Real-Valued Function at a Point
- Alexander Kharazishvili
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DOI: 10.1007/978-3-031-95369-9
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