Buch, Englisch, Band 27, 143 Seiten, Format (B × H): 157 mm x 235 mm, Gewicht: 370 g
27 Hilbert Space
Buch, Englisch, Band 27, 143 Seiten, Format (B × H): 157 mm x 235 mm, Gewicht: 370 g
Reihe: London Mathematical Society Student Texts
ISBN: 978-0-521-41884-3
Verlag: Cambridge University Press
Professor Retherford's aim in this book is to provide the reader with a virtually self-contained treatment of Hilbert space theory, leading to an elementary proof of the Lidskij trace theorem. He assumes the reader is familiar with only linear algebra and advanced calculus, and develops everything needed to introduce the ideas of compact, self-adjoint, Hilbert-Schmidt and trace class operators. Many exercises and hints are included, and throughout the emphasis is on a user-friendly approach. Advanced undergraduates and graduate students will find that this book presents a unique introduction to operators and Hilbert space.
Autoren/Hrsg.
Weitere Infos & Material
1. Preliminaries; 2. Orthogonality; 3. Isomorphisms and isometries; 4. Bounded linear operators; 5. Elementary spectral theory; 6. Self-adjoint operators; 7. Compact operators on Hilbert space; 8. Square roots; 9. The weak Weyl inequality; 10. Hilbert–Schmidt and trace class operators; 11. The Lidskij trace theorem; Bibliography.
