|
Book Review
The AMS does not provide abstracts of book reviews.
You may download the entire review from the links below.
Retrieve article in:
PDF
Book Information
Author(s):
G. R. Belitskii and Yu. I. Lyubich
Title:
Matrix norms and their applications
Additional book information:
Translated by A. Iacob. Oper. Theory: Adv. Appl., vol. 36, Birkhäuser, Basel, Boston, Berlin, 1988, viii+209 pp., $87.50. ISBN 0-8176-2220-9
References:
- 1.
- I. M. Gelfand, Normierte ringe, Mat. Sb. 9 (1941), 3-24. MR 4726
- 2.
- I. M. Gelfand and M. A. Naimark, On the embedding of normed rings into the ring of operators in Hilbert space, Mat. Sb. 12 (1943), 197-213. MR 9426
- 3.
- J. Marik and V. Ptak, Norms, spectra, and combinatorial properties of matrices, Czechoslovak Math. J. 10 (1960), 181-196. MR 120243
- 4.
- F. J. Murray and J. von Neumann, On rings of operators, Ann. of Math. 37(1936), 116-229. MR 1503275
- 5.
- J. von Neumann, Some matrix-inequalities and metrization of matric-space, Tomsk Univ. Rev. 1 (1937), 286-300; also Collected works, vol. IV, Pergamon (1962), 205-219.
- 6.
- R. Schatten, A theory of cross-spaces, Ann. of Math. Stud., no. 26, Princeton Univ. Press, Princeton, N. J., 1950. MR 36935
- 7.
- R. Schatten, Norm ideals of completely continuous operators, Ergeb. Math. Grenzgeb., Springer-Verlag, New York, 1960. MR 119112
Additional Information:
Reviewer(s):
Peter A.
Fillmore
Review Information:
Journal:
Bull. Amer. Math. Soc.
23
(1990),
620-623.
DOI:
10.1090/S0273-0979-1990-16005-7
PII:
S 0273-0979(1990)16005-7
|
