Functional calculi /:
A functional calculus is a construction which associates with an operator or a family of operators a homomorphism from a function space into a subspace of continuous linear operators, i.e. a method for defining "functions of an operator". Perhaps the most familiar example is based on the s...
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| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Singapore :
World Scientific,
©2013.
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| Online-Zugang: | Volltext |
| Zusammenfassung: | A functional calculus is a construction which associates with an operator or a family of operators a homomorphism from a function space into a subspace of continuous linear operators, i.e. a method for defining "functions of an operator". Perhaps the most familiar example is based on the spectral theorem for bounded self-adjoint operators on a complex Hilbert space. This book contains an exposition of several such functional calculi. In particular, there is an exposition based on the spectral theorem for bounded, self-adjoint operators, an extension to the case of several commuting self-adjoint operators and an extension to normal operators. The Riesz operational calculus based on the Cauchy integral theorem from complex analysis is also described. Finally, an exposition of a functional calculus due to H. Weyl is given. |
| Beschreibung: | 1 online resource |
| Bibliographie: | Includes bibliographical references and index. |
| ISBN: | 9789814415989 9814415987 9789814415996 9814415995 1299556434 9781299556430 |
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| 245 | 1 | 0 | |a Functional calculi / |c Carlos Bosch, Charles Swartz. |
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| 505 | 0 | |a 1. Vector and operator valued measures. 1.1. Vector measures. 1.2. Operator valued measures. 1.3. Extensions of measures. 1.4. Regularity and countable additivity. 1.5. Countable additivity on products -- 2. Functions of a self adjoint operator -- 3. Functions of several commuting self adjoint operators -- 4. The spectral theorem for normal operators -- 5. Integrating vector valued functions. 5.1. Vector valued measurable functions. 5.2. Integrating vector valued functions -- 6. An abstract functional calculus -- 7. The Riesz operational calculus. 7.1. Power series. 7.2. Laurent series. 7.3. Runge's theorem. 7.4. Several complex variables. 7.5. Riesz operational calculus. 7.6. Abstract functional calculus. 7.7. Spectral sets. 7.8. Isolated points. 7.9. Wiener's theorem -- 8. Weyl's functional calculus. | |
| 520 | |a A functional calculus is a construction which associates with an operator or a family of operators a homomorphism from a function space into a subspace of continuous linear operators, i.e. a method for defining "functions of an operator". Perhaps the most familiar example is based on the spectral theorem for bounded self-adjoint operators on a complex Hilbert space. This book contains an exposition of several such functional calculi. In particular, there is an exposition based on the spectral theorem for bounded, self-adjoint operators, an extension to the case of several commuting self-adjoint operators and an extension to normal operators. The Riesz operational calculus based on the Cauchy integral theorem from complex analysis is also described. Finally, an exposition of a functional calculus due to H. Weyl is given. | ||
| 504 | |a Includes bibliographical references and index. | ||
| 546 | |a English. | ||
| 650 | 0 | |a Functional analysis. |0 http://id.loc.gov/authorities/subjects/sh85052312 | |
| 650 | 0 | |a Calculus. |0 http://id.loc.gov/authorities/subjects/sh85018802 | |
| 650 | 0 | |a Mathematics. |0 http://id.loc.gov/authorities/subjects/sh85082139 | |
| 650 | 6 | |a Analyse fonctionnelle. | |
| 650 | 6 | |a Calcul infinitésimal. | |
| 650 | 6 | |a Mathématiques. | |
| 650 | 7 | |a calculus. |2 aat | |
| 650 | 7 | |a mathematics. |2 aat | |
| 650 | 7 | |a applied mathematics. |2 aat | |
| 650 | 7 | |a MATHEMATICS |x Calculus. |2 bisacsh | |
| 650 | 7 | |a MATHEMATICS |x Mathematical Analysis. |2 bisacsh | |
| 650 | 7 | |a Functional analysis |2 fast | |
| 700 | 1 | |a Swartz, Charles. | |
| 758 | |i has work: |a Functional calculi (Text) |1 https://id.oclc.org/worldcat/entity/E39PCFyqKqWpYcYvKGrvpr96fC |4 https://id.oclc.org/worldcat/ontology/hasWork | ||
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Datensatz im Suchindex
| DE-BY-FWS_katkey | ZDB-4-EBA-ocn843872845 |
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| _version_ | 1816882232885772288 |
| adam_text | |
| any_adam_object | |
| author | Bosch, Carlos |
| author2 | Swartz, Charles |
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| author_facet | Bosch, Carlos Swartz, Charles |
| author_role | |
| author_sort | Bosch, Carlos |
| author_variant | c b cb |
| building | Verbundindex |
| bvnumber | localFWS |
| callnumber-first | Q - Science |
| callnumber-label | QA320 |
| callnumber-raw | QA320 .B67 2013eb |
| callnumber-search | QA320 .B67 2013eb |
| callnumber-sort | QA 3320 B67 42013EB |
| callnumber-subject | QA - Mathematics |
| collection | ZDB-4-EBA |
| contents | 1. Vector and operator valued measures. 1.1. Vector measures. 1.2. Operator valued measures. 1.3. Extensions of measures. 1.4. Regularity and countable additivity. 1.5. Countable additivity on products -- 2. Functions of a self adjoint operator -- 3. Functions of several commuting self adjoint operators -- 4. The spectral theorem for normal operators -- 5. Integrating vector valued functions. 5.1. Vector valued measurable functions. 5.2. Integrating vector valued functions -- 6. An abstract functional calculus -- 7. The Riesz operational calculus. 7.1. Power series. 7.2. Laurent series. 7.3. Runge's theorem. 7.4. Several complex variables. 7.5. Riesz operational calculus. 7.6. Abstract functional calculus. 7.7. Spectral sets. 7.8. Isolated points. 7.9. Wiener's theorem -- 8. Weyl's functional calculus. |
| ctrlnum | (OCoLC)843872845 |
| dewey-full | 515 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 515 - Analysis |
| dewey-raw | 515 |
| dewey-search | 515 |
| dewey-sort | 3515 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Electronic eBook |
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| illustrated | Not Illustrated |
| indexdate | 2024-11-27T13:25:21Z |
| institution | BVB |
| isbn | 9789814415989 9814415987 9789814415996 9814415995 1299556434 9781299556430 |
| language | English |
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| record_format | marc |
| spelling | Bosch, Carlos. Functional calculi / Carlos Bosch, Charles Swartz. Singapore : World Scientific, ©2013. 1 online resource text txt rdacontent computer c rdamedia online resource cr rdacarrier 1. Vector and operator valued measures. 1.1. Vector measures. 1.2. Operator valued measures. 1.3. Extensions of measures. 1.4. Regularity and countable additivity. 1.5. Countable additivity on products -- 2. Functions of a self adjoint operator -- 3. Functions of several commuting self adjoint operators -- 4. The spectral theorem for normal operators -- 5. Integrating vector valued functions. 5.1. Vector valued measurable functions. 5.2. Integrating vector valued functions -- 6. An abstract functional calculus -- 7. The Riesz operational calculus. 7.1. Power series. 7.2. Laurent series. 7.3. Runge's theorem. 7.4. Several complex variables. 7.5. Riesz operational calculus. 7.6. Abstract functional calculus. 7.7. Spectral sets. 7.8. Isolated points. 7.9. Wiener's theorem -- 8. Weyl's functional calculus. A functional calculus is a construction which associates with an operator or a family of operators a homomorphism from a function space into a subspace of continuous linear operators, i.e. a method for defining "functions of an operator". Perhaps the most familiar example is based on the spectral theorem for bounded self-adjoint operators on a complex Hilbert space. This book contains an exposition of several such functional calculi. In particular, there is an exposition based on the spectral theorem for bounded, self-adjoint operators, an extension to the case of several commuting self-adjoint operators and an extension to normal operators. The Riesz operational calculus based on the Cauchy integral theorem from complex analysis is also described. Finally, an exposition of a functional calculus due to H. Weyl is given. Includes bibliographical references and index. English. Functional analysis. http://id.loc.gov/authorities/subjects/sh85052312 Calculus. http://id.loc.gov/authorities/subjects/sh85018802 Mathematics. http://id.loc.gov/authorities/subjects/sh85082139 Analyse fonctionnelle. Calcul infinitésimal. Mathématiques. calculus. aat mathematics. aat applied mathematics. aat MATHEMATICS Calculus. bisacsh MATHEMATICS Mathematical Analysis. bisacsh Functional analysis fast Swartz, Charles. has work: Functional calculi (Text) https://id.oclc.org/worldcat/entity/E39PCFyqKqWpYcYvKGrvpr96fC https://id.oclc.org/worldcat/ontology/hasWork Print version: 9789814415972 FWS01 ZDB-4-EBA FWS_PDA_EBA https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=575396 Volltext |
| spellingShingle | Bosch, Carlos Functional calculi / 1. Vector and operator valued measures. 1.1. Vector measures. 1.2. Operator valued measures. 1.3. Extensions of measures. 1.4. Regularity and countable additivity. 1.5. Countable additivity on products -- 2. Functions of a self adjoint operator -- 3. Functions of several commuting self adjoint operators -- 4. The spectral theorem for normal operators -- 5. Integrating vector valued functions. 5.1. Vector valued measurable functions. 5.2. Integrating vector valued functions -- 6. An abstract functional calculus -- 7. The Riesz operational calculus. 7.1. Power series. 7.2. Laurent series. 7.3. Runge's theorem. 7.4. Several complex variables. 7.5. Riesz operational calculus. 7.6. Abstract functional calculus. 7.7. Spectral sets. 7.8. Isolated points. 7.9. Wiener's theorem -- 8. Weyl's functional calculus. Functional analysis. http://id.loc.gov/authorities/subjects/sh85052312 Calculus. http://id.loc.gov/authorities/subjects/sh85018802 Mathematics. http://id.loc.gov/authorities/subjects/sh85082139 Analyse fonctionnelle. Calcul infinitésimal. Mathématiques. calculus. aat mathematics. aat applied mathematics. aat MATHEMATICS Calculus. bisacsh MATHEMATICS Mathematical Analysis. bisacsh Functional analysis fast |
| subject_GND | http://id.loc.gov/authorities/subjects/sh85052312 http://id.loc.gov/authorities/subjects/sh85018802 http://id.loc.gov/authorities/subjects/sh85082139 |
| title | Functional calculi / |
| title_auth | Functional calculi / |
| title_exact_search | Functional calculi / |
| title_full | Functional calculi / Carlos Bosch, Charles Swartz. |
| title_fullStr | Functional calculi / Carlos Bosch, Charles Swartz. |
| title_full_unstemmed | Functional calculi / Carlos Bosch, Charles Swartz. |
| title_short | Functional calculi / |
| title_sort | functional calculi |
| topic | Functional analysis. http://id.loc.gov/authorities/subjects/sh85052312 Calculus. http://id.loc.gov/authorities/subjects/sh85018802 Mathematics. http://id.loc.gov/authorities/subjects/sh85082139 Analyse fonctionnelle. Calcul infinitésimal. Mathématiques. calculus. aat mathematics. aat applied mathematics. aat MATHEMATICS Calculus. bisacsh MATHEMATICS Mathematical Analysis. bisacsh Functional analysis fast |
| topic_facet | Functional analysis. Calculus. Mathematics. Analyse fonctionnelle. Calcul infinitésimal. Mathématiques. calculus. mathematics. applied mathematics. MATHEMATICS Calculus. MATHEMATICS Mathematical Analysis. Functional analysis |
| url | https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=575396 |
| work_keys_str_mv | AT boschcarlos functionalcalculi AT swartzcharles functionalcalculi |