Exercises in Functional Analysis

Authors:

ISBN: 978-90-481-6399-1 (Print) 978-94-017-0223-2 (Online)

Table of contents (14 chapters)

  1. Front Matter

    Pages i-x

  2. Normed spaces

    1. Front Matter

      Pages 1-1

    2. No Access

      Book Chapter

      Pages 3-35

      Open, closed, and bounded sets in normed spaces

    3. No Access

      Book Chapter

      Pages 36-67

      Linear and continuous operators on normed spaces

    4. No Access

      Book Chapter

      Pages 68-85

      Linear and continuous functionals. Reflexive spaces

    5. No Access

      Book Chapter

      Pages 86-106

      The distance between sets in Banach spaces

    6. No Access

      Book Chapter

      Pages 107-146

      Compactness in Banach spaces. Compact operators

    7. No Access

      Book Chapter

      Pages 147-174

      The Uniform Boundedness Principle

    8. No Access

      Book Chapter

      Pages 175-194

      The Hahn—Banach theorem

    9. No Access

      Book Chapter

      Pages 195-212

      Applications for the Hahn—Banach theorem

    10. No Access

      Book Chapter

      Pages 213-240

      Baire’s category. The open mapping and closed graph theorems

  3. Hilbert spaces

    1. Front Matter

      Pages 241-241

    2. No Access

      Book Chapter

      Pages 243-270

      Hilbert spaces, general theory

    3. No Access

      Book Chapter

      Pages 271-304

      The projection in Hilbert spaces

    4. No Access

      Book Chapter

      Pages 305-365

      Linear and continuous operators on Hilbert spaces

  4. General topological spaces

    1. Front Matter

      Pages 366-366

    2. No Access

      Book Chapter

      Pages 368-402

      Linear topological and locally convex spaces

    3. No Access

      Book Chapter

      Pages 403-443

      The weak topologies

  5. Back Matter

    Pages 444-454