Functional Analysis An Introductory Course /

• Main Author: Ovchinnikov, Sergei (Author, http://id.loc.gov/vocabulary/relators/aut)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Cham : Springer International Publishing : Imprint: Springer, 2018.
• Edition: 1st ed. 2018.
• Series: Universitext,
• Subjects: Functional analysis.; Functional Analysis.

This concise text provides a gentle introduction to functional analysis. Chapters cover essential topics such as special spaces, normed spaces, linear functionals, and Hilbert spaces. Numerous examples and counterexamples aid in the understanding of key concepts, while exercises at the end of each c...

Table of Contents:

• Preface
• 1. Preliminaries
• 2. Metric Spaces
• 3. Special Spaces
• 4. Normed Spaces
• 5. Linear Functionals
• 6. Fundamental Theorems
• 7. Hilbert Spaces
• A. Hilbert Spaces L2(J)
• References
• Index.