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A Course in Functional Analysis and Measure Theory 1st edition by Vladimir Kadets, Andrei Iacob ISBN 3319920049 9783319920047

Name: A Course in Functional Analysis and Measure Theory 1st edition by Vladimir Kadets, Andrei Iacob ISBN 3319920049 9783319920047
SKU: EB-7151514
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A Course in Functional Analysis and Measure Theory Vladimir Kadets Digital Instant Download

Author(s): Vladimir Kadets

ISBN(s): 9783319920030, 9783319920047, 3319920030, 3319920049

Edition: 1st ed.

File Details: PDF, 6.09 MB

Year: 2018

Language: English

SKU: EB-7151514 Category: Mathematics - Analysis Tag: Vladimir Kadets

Description

A Course in Functional Analysis and Measure Theory 1st edition by Vladimir Kadets, Andrei Iacob – Ebook PDF Instant Download/Delivery: 3319920049, 978-3319920047
Full dowload A Course in Functional Analysis and Measure Theory 1st Edition after payment

Product details:

ISBN 10: 3319920049
ISBN 13: 978-3319920047
Author: Vladimir Kadets, Andrei Iacob

Written by an expert on the topic and experienced lecturer, this textbook provides an elegant, self-contained introduction to functional analysis, including several advanced topics and applications to harmonic analysis.

Starting from basic topics before proceeding to more advanced material, the book covers measure and integration theory, classical Banach and Hilbert space theory, spectral theory for bounded operators, fixed point theory, Schauder bases, the Riesz-Thorin interpolation theorem for operators, as well as topics in duality and convexity theory.

Aimed at advanced undergraduate and graduate students, this book is suitable for both introductory and more advanced courses in functional analysis. Including over 1500 exercises of varying difficulty and various motivational and historical remarks, the book can be used for self-study and alongside lecture courses.

A Course in Functional Analysis and Measure Theory 1st Table of contents:

1. Metric and Topological Spaces

2. Measure Theory

3. Measurable Functions

4. The Lebesgue Integral

5. Linear Spaces, Linear Functionals, and the Hahn–Banach Theorem

6. Normed Spaces

7. Absolute Continuity of Measures and Functions. The Connection Between Derivative and Integral

8. The Integral on C(K)

9. Continuous Linear Functionals

10. Classical Theorems on Continuous Operators

11. Elements of Spectral Theory of Operators. Compact Operators

12. Hilbert Spaces

13. Functions of an Operator

14. Operators in

15. Fixed Point Theorems and Applications

16. Topological Vector Spaces

17. Elements of Duality Theory

18. The Krein–Milman Theorem and Its Applications

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