Metrics, Norms, Inner Products, and Operator Theory

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

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 Request lecturer material: sn.pub/lecturer-material

Autorentext

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

Inhalt
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.