A Concise Introduction to Functional Analysis
eBook - ePub

A Concise Introduction to Functional Analysis

  1. English
  2. ePUB (mobile friendly)
  3. Available on iOS & Android
eBook - ePub

A Concise Introduction to Functional Analysis

About this book

A Concise Introduction to Functional Analysis is designed to serve a one-semester introductory graduate (or advanced undergraduate) course in functional analysis.

The text is pragmatically structured so that each unit corresponds to one class, with the hope of being helpful for both students and teachers. It is expected that this text will provide students with a strong general understanding of the subject, and that they should feel well equipped to take on the more advanced texts and courses covering topics not treated here.

Features

· Numerous examples and counterexamples to illustrate such abstract concepts

· Over 430 exercises, with partial solutions included in the book itself

· Minimal pre-requisites beyond linear algebra and general topology.

Frequently asked questions

Yes, you can cancel anytime from the Subscription tab in your account settings on the Perlego website. Your subscription will stay active until the end of your current billing period. Learn how to cancel your subscription.
At the moment all of our mobile-responsive ePub books are available to download via the app. Most of our PDFs are also available to download and we're working on making the final remaining ones downloadable now. Learn more here.
Perlego offers two plans: Essential and Complete
  • Essential is ideal for learners and professionals who enjoy exploring a wide range of subjects. Access the Essential Library with 800,000+ trusted titles and best-sellers across business, personal growth, and the humanities. Includes unlimited reading time and Standard Read Aloud voice.
  • Complete: Perfect for advanced learners and researchers needing full, unrestricted access. Unlock 1.4M+ books across hundreds of subjects, including academic and specialized titles. The Complete Plan also includes advanced features like Premium Read Aloud and Research Assistant.
Both plans are available with monthly, semester, or annual billing cycles.
We are an online textbook subscription service, where you can get access to an entire online library for less than the price of a single book per month. With over 1 million books across 1000+ topics, we’ve got you covered! Learn more here.
Look out for the read-aloud symbol on your next book to see if you can listen to it. The read-aloud tool reads text aloud for you, highlighting the text as it is being read. You can pause it, speed it up and slow it down. Learn more here.
Yes! You can use the Perlego app on both iOS or Android devices to read anytime, anywhere — even offline. Perfect for commutes or when you’re on the go.
Please note we cannot support devices running on iOS 13 and Android 7 or earlier. Learn more about using the app.
Yes, you can access A Concise Introduction to Functional Analysis by C´esar R. de Oliveira,César R. de Oliveira in PDF and/or ePUB format, as well as other popular books in Mathematics & Calculus. We have over one million books available in our catalogue for you to explore.

Information

Table of contents

  1. Cover Page
  2. Half-Title Page
  3. Title Page
  4. Copyright Page
  5. Dedication Page
  6. Contents
  7. Preface
  8. Selected Notation
  9. Chapter 1 ▪ Normed Spaces
  10. Chapter 2 ▪ Compactness and Completion
  11. Chapter 3 ▪ Separable Spaces and Linear Operators
  12. Chapter 4 ▪ Bounded Operators and Dual Spaces
  13. Chapter 5 ▪ Banach Fixed Point
  14. Chapter 6 ▪ Baire Theorem
  15. Chapter 7 ▪ Uniform Boundedness Principle
  16. Chapter 8 ▪ Open Mapping Theorem
  17. Chapter 9 ▪ Closed Graph Theorem
  18. Chapter 10 ▪ Hahn-Banach Theorem
  19. Chapter 11 ▪ Proof of Hahn-Banach
  20. Chapter 12 ▪ Applications of Hahn-Banach Theorem
  21. Chapter 13 ▪ Adjoint Operators in N
  22. Chapter 14 ▪ Weak Convergence
  23. Chapter 15 ▪ Weak Topologies
  24. Chapter 16 ▪ Reflexive Spaces and Compactness
  25. Chapter 17 ▪ Hilbert Spaces
  26. Chapter 18 ▪ Orthogonal Projection
  27. Chapter 19 ▪ Riesz Representation in H
  28. Chapter 20 ▪ Self-Adjoint Operators
  29. Chapter 21 ▪ Orthonormal Bases
  30. Chapter 22 ▪ Fourier Series
  31. Chapter 23 ▪ Operations on Banach Spaces
  32. Chapter 24 ▪ Compact Operators
  33. Chapter 25 ▪ Compact Operators on H
  34. Chapter 26 ▪ Hilbert-Schmidt Operators
  35. Chapter 27 ▪ The Spectrum
  36. Chapter 28 ▪ Spectral Classification
  37. Chapter 29 ▪ Spectra of Self-Adjoint Operators
  38. Chapter 30 ▪ Spectra of Compact Operators
  39. Solutions to Selected Exercises
  40. Bibliography
  41. Index