| 书目名称 | Matrix Norms and their Applications |
| 编辑 | G. R. Belitskii,Yurii I. Lyubich |
| 视频video | |
| 丛书名称 | Operator Theory: Advances and Applications |
| 图书封面 |  |
| 描述 | CHAPTER 1 - OPERATORS IN FINITE-DIMENSIONAL NORMED SPACES 1 §l. Norms of vectors, linear functionals, and linear operators. 1 § 2. Survey of spectral theory 14 § 3. Spectral radius . 17 § 4. One-parameter groups and semigroups of operators. 25 Appendix. Conditioning in general computational problems 28 CHAPTER 2 - SPECTRAL PROPERTIES OF CONTRACTIONS 33 §l. Contractive operators and isometries. 33 §2. Stability theorems. 46 §3. One-parameter semigroups of contractions and groups of isometries. 48 § 4. The boundary spectrum of extremal contractions. 52 §5. Extreme points of the unit ball in the space of operators. 64 §6. Critical exponents. 66 §7. The apparatus of functions on graphs. 72 §8. Combinatorial and spectral properties of t -contractions . 81 00 §9. Combinatorial and spectral properties of 96 nonnegative matrices. §10. Finite Markov chains. 102 §ll. Nonnegative projectors. 108 VI CHAPTER 3 - OPERATOR NORMS . 113 §l. Ring norms on the algebra of operators in E 113 §2. Characterization of operator norms. 126 §3. Operator minorants. . . . . . 133 §4. Suprema of families of operator norms 141 §5. Ring cross-norms . . 150 §6. Orthogonally-invariant norms. 152 CHAPTER 4 - STUDY O |
| 出版日期 | Book 1988 |
| 关键词 | algebra; automorphism; matrices; matrix; semigroup; spectral theory |
| 版次 | 1 |
| doi | https://doi.org/10.1007/978-3-0348-7400-7 |
| isbn_softcover | 978-3-7643-2220-5 |
| isbn_ebook | 978-3-0348-7400-7Series ISSN 0255-0156 Series E-ISSN 2296-4878 |
| issn_series | 0255-0156 |
| copyright | Birkhäuser Verlag Basel 1988 |
发表于 2025-3-21 16:23:32
