A Hilbert Space Problem Book
2nd Edition
Published on 6. December 2012
XVII, 373 pages
978-1-4684-9330-6 (ISBN)
Description
From the Preface: "This book was written for the active reader. The first part consists of problems, frequently preceded by definitions and motivation, and sometimes followed by corollaries and historical remarks... The second part, a very short one, consists of hints... The third part, the longest, consists of solutions: proofs, answers, or contructions, depending on the nature of the problem....
This is not an introduction to Hilbert space theory. Some knowledge of that subject is a prerequisite: at the very least, a study of the elements of Hilbert space theory should proceed concurrently with the reading of this book."
More details
Series
Edition
Second Edition 1982
Language
English
Place of publication
New York
United States
Publishing group
Springer US
Target group
Primary & secondary/elementary & high school
Illustrations
XVII, 373 p.
File size
28,70 MB
ISBN-13
978-1-4684-9330-6 (9781468493306)
DOI
10.1007/978-1-4684-9330-6
Schweitzer Classification
Other editions
Additional editions
P.R. Halmos
A Hilbert Space Problem Book
Book
05/2012
2nd Edition
Springer
€60.98
Article exhausted; check different version
Previous edition
P.R. Halmos
A Hilbert Space Problem Book
E-Book
12/2012
1st Edition
Springer
€82.38
Available for download
Content
1. Vectors.- 2. Spaces.- 3. Weak Topology.- 4. Analytic Functions.- 5. Infinite Matrices.- 6. Boundedness and Invertibility.- 7. Multiplication Operators.- 8. Operator Matrices.- 9. Properties of Spectra.- 10. Examples of Spectra.- 11. Spectral Radius.- 12. Norm Topology.- 13. Operator Topologies.- 14. Strong Operator Topology.- 15. Partial Isometries.- 16. Polar Decomposition.- 17. Unilateral Shift.- 18. Cyclic Vectors.- 19. Properties of Compactness.- 20. Examples of Compactness.- 21. Subnormal Operators.- 22. Numerical Range.- 23. Unitary Dilations.- 24. Commutators.- 25. Toeplitz Operators.- References.- List of Symbols.
