Author | Belitskii, G. R. author |
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Title | Matrix Norms and their Applications [electronic resource] / by G. R. Belitskii, Yurii I. Lyubich |
Imprint | Basel : Birkhรคuser Basel, 1988 |
Connect to | http://dx.doi.org/10.1007/978-3-0348-7400-7 |
Descript | VIII, 210 p. online resource |
1 โ Operators in Finite-Dimensional Normed Spaces -- ยง1. Norms of vectors, linear functionals, and linear operators -- ยง2. Survey of spectral theory -- ยง3. Spectral radius -- ยง4. One-parameter groups and semigroups of operators -- Appendix. Conditioning in general computational problems -- 2 โ Spectral Properties of Contractions -- ยง1. Contractive operators and isometries -- ยง2. Stability theorems -- ยง3. One-parameter semigroups of contractions and groups of isometries -- ยง4. The boundary spectrum of extremal contractions -- ยง5. Extreme points of the unit ball in the space of operators -- ยง6. Critical exponents -- ยง7. The apparatus of functions on graphs -- ยง8. Combinatorial and spectral properties of l?-contractions -- ยง9. Combinatorial and spectral properties of nonnegative matrices -- ยง10. Finite Markov chains -- ยง11. Nonnegative projectors -- 3 โ Operator Norms -- ยง1. Ring norms on the algebra of operators in E -- ยง2. Characterization of operator norms -- ยง3. Operator minorants -- ยง4. Suprema of families of operator norms -- ยง5. Ring cross-norms -- ยง6. Orthogonally-invariant norms -- 4 โ Study of the Order Structure on the Set of Ring Norms -- ยง1. Maximal chains of ring norms -- ยง2. Generalized ring norms -- ยง3. The lattice of subalgebras of the algebra End(E) -- ยง4. Characterization of automorphisms -- Brief Comments on the Literature -- References