Loewner's theorem on monotone matrix functions / Barry Simon
Type de document : MonographieCollection : Grundlehren der mathematischen wissenschaften, 354Langue : anglais.Pays: Swisse.Éditeur : Cham : Springer, 2019Description : 1 vol. (XI-459 p.) : ill. ; 25 cmISBN: 9783030224219.ISSN: 0072-7830.Bibliographie : Bibliogr. p. 433-446. Index.Sujet MSC : 26-02, Research exposition (monographs, survey articles) pertaining to real functions26A48, Real functions - Functions of one variable, Monotonic functions, generalizations
47A63, Operator theory - General theory of linear operators, Linear operator inequalities
30B40, Series expansions of functions of one complex variable, Analytic continuation
30E05, Functions of a complex variable - Miscellaneous topics of analysis in the complex plane, Moment problems and interpolation problemsEn-ligne : Springer | zbMath | MSN
| Item type | Current library | Call number | Status | Date due | Barcode |
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Monographie
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CMI Salle 1 | 26 SIM (Browse shelf(Opens below)) | Available | 05833-01 |
...This book will be a valuable reference for anyone interested in any aspect of Loewner's theorem. The variety of techniques used in the eleven proofs also makes the text a good introduction to many standard methods in functional analysis and function theory. Most of the necessary basic results are proved in detail; any missing steps are clearly referenced, often to the author's recent set of analysis texts. In addition to multiple proofs of Loewner's theorem, many of the background results have several different proofs. The author calls this monograph "a love poem to Loewner's theorem''. His enthusiasm for the subject matter and occasional mathematical excursions make reading the book feel like an animated conversation with a colleague or teacher (MSN)
Bibliogr. p. 433-446. Index
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