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Titlebook: Matrix Norms and their Applications; G. R. Belitskii,Yurii I. Lyubich Book 1988 Birkh?user Verlag Basel 1988 algebra.automorphism.matrices

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書(shū)目名稱(chēng)Matrix Norms and their Applications
編輯G. R. Belitskii,Yurii I. Lyubich
視頻videohttp://file.papertrans.cn/628/627762/627762.mp4
叢書(shū)名稱(chēng)Operator Theory: Advances and Applications
圖書(shū)封面Titlebook: Matrix Norms and their Applications; G. R. Belitskii,Yurii I. Lyubich Book 1988 Birkh?user Verlag Basel 1988 algebra.automorphism.matrices
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
關(guān)鍵詞algebra; automorphism; matrices; matrix; semigroup; spectral theory
版次1
doihttps://doi.org/10.1007/978-3-0348-7400-7
isbn_softcover978-3-7643-2220-5
isbn_ebook978-3-0348-7400-7Series ISSN 0255-0156 Series E-ISSN 2296-4878
issn_series 0255-0156
copyrightBirkh?user Verlag Basel 1988
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發(fā)表于 2025-3-22 00:06:32 | 只看該作者
G. R. Belitskii,Yurii I. Lyubichng linearer Gleichungssysteme. So ist es nicht verwunderlich, da? die Forschungsaktivit?ten auf dem Gebiet der Gleichungssysteml?ser einen deut- lichen Aufschwung erfahren und zur Entwicklung einer Vielzahl effizienter Verfahren geführt haben. Das vorliegende Buch basiert auf den Inhalten einer vom
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0255-0156 or minorants. . . . . . 133 §4. Suprema of families of operator norms 141 §5. Ring cross-norms . . 150 §6. Orthogonally-invariant norms. 152 CHAPTER 4 - STUDY O978-3-7643-2220-5978-3-0348-7400-7Series ISSN 0255-0156 Series E-ISSN 2296-4878
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Book 1988 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
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Operators in Finite-Dimensional Normed Spaces,s. The notations E and n for the ground space and its dimensions will be kept fixed throughout the book. In studying questions that can be treated without making distinction between the real and complex case we shall denote the ground field by K. As a rule, the ele-ments of K (.) will be denoted by
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發(fā)表于 2025-3-23 08:14:03 | 只看該作者
Operator Norms,ace E is real in order to simplify, to some extent, the notation; however, all results discussed below extend to the complex case with minor modifications]. End (E) can be endowed with a norm in infinitely many ways which are all topologically equivalent (thanks to the finite-dimensionality of the s
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