A Short Introduction to Metric, Banach, and Hilbert Spaces

With Operator Theory
1. Auflage 2018
ISBN: 978-3-319-65321-1
Verlag: Springer-Verlag GmbH

Buch, Englisch, 359 Seiten, Book, Format (B × H): 160 mm x 241 mm, Gewicht: 740 g

Reihe: Applied and Numerical Harmonic Analysis

Aimed at students who have a basic knowledge of undergraduate real analysis.  All of the required background material is reviewed in the first chapter
Suitable for undergraduate-level courses; no familiarity with measure theory is required
Extensive exercises complement the text and provide opportunities for learning by doing
A separate solutions manual is available for instructors via the Birkhäuser website (www.springer.com/978-3-319-65321-1)
Unique text providing an undergraduate-level introduction to metrics, norms, inner products, and their associated operator theory

Zielgruppe

Upper undergraduate

Autoren/Hrsg.

Heil, Christopher

Fachgebiete

• Mathematik | Informatik Mathematik Mathematische Analysis Harmonische Analysis, Fourier-Mathematik
• Mathematik | Informatik Mathematik Mathematische Analysis Funktionalanalysis

Inhaltsverzeichnis

Preface.- Notation and Preliminaries.- Metric Spaces.- Norms and Banach Spaces.- Further Results on Banach Spaces.- Inner Products and Hilbert Spaces.- Operator Theory.- Operators and Hilbert Spaces.

Über Autor(innen)

Christopher Heil, Professor and Associate Chair, School of Mathematics, Georgia Institute of Technology