G Belitskii

(Author)

Matrix Norms and Their Applications (Softcover Reprint of the Original 1st 1988)Paperback - Softcover Reprint of the Original 1st 1988, 1 September 1988

Matrix Norms and Their Applications (Softcover Reprint of the Original 1st 1988)
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Part of Series
Operator Theory: Advances and Applications
Print Length
210 pages
Language
English
Publisher
Birkhauser
Date Published
1 Sep 1988
ISBN-10
3764322209
ISBN-13
9783764322205

Description

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 OF THE ORDER STRUCTURE ON THE SET OF RING NORMS . 157 §l. Maximal chains of ring norms. 157 §2. Generalized ring norms. 160 §3. The lattice of subalgebras of the algebra End(E) 166 § 4 - Characterization of automorphisms 179 201 Brief Comments on the Literature 205 References . .

Product Details

Authors:
G BelitskiiLibuich
Book Edition:
Softcover Reprint of the Original 1st 1988
Book Format:
Paperback
Country of Origin:
US
Date Published:
1 September 1988
Dimensions:
24.41 x 16.99 x 1.17 cm
ISBN-10:
3764322209
ISBN-13:
9783764322205
Language:
English
Location:
Basel
Pages:
210
Publisher:
Weight:
358.34 gm

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