Office of Academic Resources
Chulalongkorn University
Chulalongkorn University

Home / Help

AuthorHalmos, Paul R. author
TitleA Hilbert Space Problem Book [electronic resource] / by Paul R. Halmos
ImprintNew York, NY : Springer New York, 1982
Edition Second Edition, Revised and Enlarged
Connect tohttp://dx.doi.org/10.1007/978-1-4684-9330-6
Descript XVIII, 376 p. online resource

SUMMARY

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."


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


Mathematics Differential geometry Mathematics Differential Geometry



Location



Office of Academic Resources, Chulalongkorn University, Phayathai Rd. Pathumwan Bangkok 10330 Thailand

Contact Us

Tel. 0-2218-2929,
0-2218-2927 (Library Service)
0-2218-2903 (Administrative Division)
Fax. 0-2215-3617, 0-2218-2907

Social Network

  line

facebook   instragram