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Functional Analysis An Introduction to Metric Spaces, Hilbert Spaces, and Banach Algebras /
This textbook is an introduction to functional analysis suited to final year undergraduates or beginning graduates. Its various applications of Hilbert spaces, including least squares approximation, inverse problems, and Tikhonov regularization, should appeal not only to mathematicians interested in...
| Clasificación: | Libro Electrónico |
|---|---|
| Autor principal: | |
| Autor Corporativo: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Cham :
Springer International Publishing : Imprint: Springer,
2014.
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| Edición: | 1st ed. 2014. |
| Temas: | |
| Acceso en línea: | Texto Completo |
MARC
| LEADER | 00000nam a22000005i 4500 | ||
|---|---|---|---|
| 001 | 978-3-319-06728-5 | ||
| 003 | DE-He213 | ||
| 005 | 20221217081816.0 | ||
| 007 | cr nn 008mamaa | ||
| 008 | 140723s2014 sz | s |||| 0|eng d | ||
| 020 | |a 9783319067285 |9 978-3-319-06728-5 | ||
| 024 | 7 | |a 10.1007/978-3-319-06728-5 |2 doi | |
| 050 | 4 | |a QA319-329.9 | |
| 072 | 7 | |a PBKF |2 bicssc | |
| 072 | 7 | |a MAT037000 |2 bisacsh | |
| 072 | 7 | |a PBKF |2 thema | |
| 082 | 0 | 4 | |a 515.7 |2 23 |
| 100 | 1 | |a Muscat, Joseph. |e author. |0 (orcid)0000-0001-7572-7931 |1 https://orcid.org/0000-0001-7572-7931 |4 aut |4 http://id.loc.gov/vocabulary/relators/aut | |
| 245 | 1 | 0 | |a Functional Analysis |h [electronic resource] : |b An Introduction to Metric Spaces, Hilbert Spaces, and Banach Algebras / |c by Joseph Muscat. |
| 250 | |a 1st ed. 2014. | ||
| 264 | 1 | |a Cham : |b Springer International Publishing : |b Imprint: Springer, |c 2014. | |
| 300 | |a XI, 420 p. 75 illus. |b online resource. | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
| 338 | |a online resource |b cr |2 rdacarrier | ||
| 347 | |a text file |b PDF |2 rda | ||
| 505 | 0 | |a Introduction -- Distance -- Convergence and Continuity -- Completeness and Separability -- Connectedness -- Compactness -- Normed Spaces -- Continuous Linear Maps -- Main Examples -- Hilbert Spaces -- Banach Spaces -- Differentiation and Integration -- Banach Algebras -- Spectral Theory -- C∗-Algebras. | |
| 520 | |a This textbook is an introduction to functional analysis suited to final year undergraduates or beginning graduates. Its various applications of Hilbert spaces, including least squares approximation, inverse problems, and Tikhonov regularization, should appeal not only to mathematicians interested in applications, but also to researchers in related fields. Functional Analysis adopts a self-contained approach to Banach spaces and operator theory that covers the main topics, based upon the classical sequence and function spaces and their operators. It assumes only a minimum of knowledge in elementary linear algebra and real analysis; the latter is redone in the light of metric spaces. It contains more than a thousand worked examples and exercises, which make up the main body of the book. | ||
| 650 | 0 | |a Functional analysis. | |
| 650 | 0 | |a Operator theory. | |
| 650 | 1 | 4 | |a Functional Analysis. |
| 650 | 2 | 4 | |a Operator Theory. |
| 710 | 2 | |a SpringerLink (Online service) | |
| 773 | 0 | |t Springer Nature eBook | |
| 776 | 0 | 8 | |i Printed edition: |z 9783319067292 |
| 776 | 0 | 8 | |i Printed edition: |z 9783319067278 |
| 856 | 4 | 0 | |u https://doi.uam.elogim.com/10.1007/978-3-319-06728-5 |z Texto Completo |
| 912 | |a ZDB-2-SMA | ||
| 912 | |a ZDB-2-SXMS | ||
| 950 | |a Mathematics and Statistics (SpringerNature-11649) | ||
| 950 | |a Mathematics and Statistics (R0) (SpringerNature-43713) | ||