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Completing the Riesz-Dunford functional calculus /
Let [script lowercase]f be any analytic function defined in a neighborhood of the non-empty set [italic]E and let [script]S([italic]E) denote the set of all operator having spectrum included in [italic]E. In this paper the closure and interior of the set [script lowercase]f([script]S([italic]E)) ≡ {...
| Clasificación: | Libro Electrónico |
|---|---|
| Autores principales: | , , |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Providence, Rhode Island :
American Mathematical Society,
[1989]
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| Colección: | Memoirs of the American Mathematical Society ;
no. 417. |
| Temas: | |
| Acceso en línea: | Texto completo |
MARC
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| 100 | 1 | |a Conway, John B., |d 1939- |1 https://id.oclc.org/worldcat/entity/E39PBJckKmb4G4J7RTxMHwH9jC | |
| 245 | 1 | 0 | |a Completing the Riesz-Dunford functional calculus / |c John B. Conway, Domingo A. Herrero and Bernard B. Morrel. |
| 264 | 1 | |a Providence, Rhode Island : |b American Mathematical Society, |c [1989] | |
| 264 | 4 | |c ©1989 | |
| 300 | |a 1 online resource (iv, 104 pages) | ||
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| 490 | 1 | |a Memoirs of the American Mathematical Society, |x 0065-9266 ; |v Number 417 | |
| 500 | |a "November 1989, Volume 82, Number 417 (second of 3 numbers)." | ||
| 504 | |a Includes bibliographical references (pages 102-104). | ||
| 505 | 0 | 0 | |t Introduction -- |t Spectral preliminaries -- |t The closure of [script lowercase]f([script]S([italic]E)) -- |t Examples -- |t Compact perturbations -- |t The interior of [script lowercase]f([script]S([italic]E)) -- |t The closure of the interior of [script lowercase]f([script]S([italic]E)) -- |t The interior of the closure of [script lowercase]f([script]S([italic]E)) -- |t Further iterations of the interior and closure. |
| 520 | |a Let [script lowercase]f be any analytic function defined in a neighborhood of the non-empty set [italic]E and let [script]S([italic]E) denote the set of all operator having spectrum included in [italic]E. In this paper the closure and interior of the set [script lowercase]f([script]S([italic]E)) ≡ {[script lowercase]f([italic]A): [italic]A ∈[script]S([italic]E)} are characterized. Some applications serve to illustrate the interplay between the analyticity of the functions and the spectral behavior of the operators.588Print version record. | ||
| 590 | |a ProQuest Ebook Central |b Ebook Central Academic Complete | ||
| 650 | 0 | |a Functional analysis. | |
| 650 | 0 | |a Analytic functions. | |
| 650 | 0 | |a Linear operators. | |
| 650 | 6 | |a Analyse fonctionnelle. | |
| 650 | 6 | |a Fonctions analytiques. | |
| 650 | 6 | |a Opérateurs linéaires. | |
| 650 | 7 | |a MATHEMATICS |x Essays. |2 bisacsh | |
| 650 | 7 | |a MATHEMATICS |x Pre-Calculus. |2 bisacsh | |
| 650 | 7 | |a MATHEMATICS |x Reference. |2 bisacsh | |
| 650 | 7 | |a Analytic functions |2 fast | |
| 650 | 7 | |a Functional analysis |2 fast | |
| 650 | 7 | |a Linear operators |2 fast | |
| 700 | 1 | |a Herrero, Domingo A., |e author. | |
| 700 | 1 | |a Morrel, Bernard B., |e author. | |
| 776 | 0 | 8 | |i Print version: |a Conway, John B., 1939- |t Completing the Riesz-Dunford functional calculus. |d Providence, Rhode Island : American Mathematical Society, ©1989 |h iv, 104 pages |k Memoirs of the American Mathematical Society ; Number 417 |x 0065-9266 |z 9780821824801 |
| 830 | 0 | |a Memoirs of the American Mathematical Society ; |v no. 417. | |
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