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Locally Convex Spaces
For most practicing analysts who use functional analysis, the restriction to Banach spaces seen in most real analysis graduate texts is not enough for their research. This graduate text, while focusing on locally convex topological vector spaces, is intended to cover most of the general theory neede...
| 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. |
| Colección: | Graduate Texts in Mathematics,
269 |
| Temas: | |
| Acceso en línea: | Texto Completo |
MARC
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| 001 | 978-3-319-02045-7 | ||
| 003 | DE-He213 | ||
| 005 | 20220114012323.0 | ||
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| 008 | 131106s2014 sz | s |||| 0|eng d | ||
| 020 | |a 9783319020457 |9 978-3-319-02045-7 | ||
| 024 | 7 | |a 10.1007/978-3-319-02045-7 |2 doi | |
| 050 | 4 | |a QA319-329.9 | |
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| 100 | 1 | |a Osborne, M. Scott. |e author. |4 aut |4 http://id.loc.gov/vocabulary/relators/aut | |
| 245 | 1 | 0 | |a Locally Convex Spaces |h [electronic resource] / |c by M. Scott Osborne. |
| 250 | |a 1st ed. 2014. | ||
| 264 | 1 | |a Cham : |b Springer International Publishing : |b Imprint: Springer, |c 2014. | |
| 300 | |a VIII, 213 p. 5 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 | ||
| 490 | 1 | |a Graduate Texts in Mathematics, |x 2197-5612 ; |v 269 | |
| 505 | 0 | |a 1 Topological Groups -- 2 Topological Vector Spaces -- 3 Locally Convex Spaces -- 4 The Classics -- 5 Dual Spaces -- 6 Duals of Fré chet Spaces -- A Topological Oddities -- B Closed Graphs in Topological Groups -- C The Other Krein-Smulian Theorem -- D Further Hints for Selected Exercises -- Bibliography -- Index. | |
| 520 | |a For most practicing analysts who use functional analysis, the restriction to Banach spaces seen in most real analysis graduate texts is not enough for their research. This graduate text, while focusing on locally convex topological vector spaces, is intended to cover most of the general theory needed for application to other areas of analysis. Normed vector spaces, Banach spaces, and Hilbert spaces are all examples of classes of locally convex spaces, which is why this is an important topic in functional analysis. While this graduate text focuses on what is needed for applications, it also shows the beauty of the subject and motivates the reader with exercises of varying difficulty. Key topics covered include point set topology, topological vector spaces, the Hahn-Banach theorem, seminorms and Fréchet spaces, uniform boundedness, and dual spaces. The prerequisite for this text is the Banach space theory typically taught in a beginning graduate real analysis course. | ||
| 650 | 0 | |a Functional analysis. | |
| 650 | 0 | |a Topological groups. | |
| 650 | 0 | |a Lie groups. | |
| 650 | 1 | 4 | |a Functional Analysis. |
| 650 | 2 | 4 | |a Topological Groups and Lie Groups. |
| 710 | 2 | |a SpringerLink (Online service) | |
| 773 | 0 | |t Springer Nature eBook | |
| 776 | 0 | 8 | |i Printed edition: |z 9783319020440 |
| 776 | 0 | 8 | |i Printed edition: |z 9783319020464 |
| 776 | 0 | 8 | |i Printed edition: |z 9783319343747 |
| 830 | 0 | |a Graduate Texts in Mathematics, |x 2197-5612 ; |v 269 | |
| 856 | 4 | 0 | |u https://doi.uam.elogim.com/10.1007/978-3-319-02045-7 |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) | ||