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The Maslov index in symplectic Banach spaces /
"We consider a curve of Fredholm pairs of Lagrangian subspaces in a fixed Banach space with continuously varying weak symplectic structures. Assuming vanishing index, we obtain intrinsically a continuously varying splitting of the total Banach space into pairs of symplectic subspaces. Using suc...
| Clasificación: | Libro Electrónico |
|---|---|
| Autores principales: | , |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Providence, RI :
American Mathematical Society,
[2018]
|
| Colección: | Memoirs of the American Mathematical Society ;
no. 1201. |
| Temas: | |
| Acceso en línea: | Texto completo |
MARC
| LEADER | 00000cam a2200000 i 4500 | ||
|---|---|---|---|
| 001 | EBOOKCENTRAL_on1028579699 | ||
| 003 | OCoLC | ||
| 005 | 20240329122006.0 | ||
| 006 | m o d | ||
| 007 | cr |n||||||||| | ||
| 008 | 180313t20182018riua ob 001 0 eng d | ||
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| 020 | |a 1470443716 |q (online) | ||
| 020 | |a 9781470443719 |q (electronic bk.) | ||
| 020 | |z 9781470428006 |q (alk. paper) | ||
| 020 | |z 1470428008 |q (alk. paper) | ||
| 035 | |a (OCoLC)1028579699 | ||
| 050 | 4 | |a QA614.92 |b .B66 2018 | |
| 072 | 7 | |a MAT |x 012000 |2 bisacsh | |
| 082 | 0 | 4 | |a 516.3/6 |2 23 |
| 049 | |a UAMI | ||
| 100 | 1 | |a Booss, Bernhelm, |d 1941- |e author. |1 https://id.oclc.org/worldcat/entity/E39PBJkXwyjpyb7CBR4VdkhbVC | |
| 245 | 1 | 4 | |a The Maslov index in symplectic Banach spaces / |c Bernhelm Booß-Bavnbek, Chaofeng Zhu. |
| 264 | 1 | |a Providence, RI : |b American Mathematical Society, |c [2018] | |
| 264 | 4 | |c ©2018 | |
| 300 | |a 1 online resource (x, 118 pages) : |b illustrations | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
| 338 | |a online resource |b cr |2 rdacarrier | ||
| 490 | 1 | |a Memoirs of the American Mathematical Society, |x 0065-9266 ; |v volume 252, number 1201 | |
| 588 | 0 | |a Print version record. | |
| 500 | |a "March 2018, volume 252, number 1201 (second of 6 numbers)." | ||
| 504 | |a Includes bibliographical references (pages 103-107) and indexes. | ||
| 505 | 0 | 0 | |g PART 1. |t Maslov index in symplectic Banach spaces. -- |t General theory of symplectic analysis in Banach spaces -- |t The Maslov index in strong symplectic Hilbert space -- |t The Maslov index in Banach bundles over a closed interval -- |g PART 2. |t Applications in global analysis. |t The desuspension spectral flow formula -- |g Appendix A. |t Perturbation of closed subspaces in Banach spaces. |
| 520 | 3 | |a "We consider a curve of Fredholm pairs of Lagrangian subspaces in a fixed Banach space with continuously varying weak symplectic structures. Assuming vanishing index, we obtain intrinsically a continuously varying splitting of the total Banach space into pairs of symplectic subspaces. Using such decompositions we define the Maslov index of the curve by symplectic reduction to the classical finite-dimensional case. We prove the transitivity of repeated symplectic reductions and obtain the invariance of the Maslov index under symplectic reduction, while recovering all the standard properties of the Maslov index | |
| 520 | 3 | |a As an application, we consider curves of elliptic operators which have varying principal symbol, varying maximal domain and are not necessarily of Dirac type. For this class of operator curves, we derive a desuspension spectral flow formula for varying well-posed boundary conditions on manifolds with boundary and obtain the splitting formula of the spectral flow on partitioned manifolds."--Page v | |
| 590 | |a ProQuest Ebook Central |b Ebook Central Academic Complete | ||
| 650 | 0 | |a Maslov index. | |
| 650 | 0 | |a Symplectic spaces. | |
| 650 | 0 | |a Banach spaces. | |
| 650 | 6 | |a Indices de Maslov. | |
| 650 | 6 | |a Espaces symplectiques. | |
| 650 | 6 | |a Espaces de Banach. | |
| 650 | 7 | |a MATHEMATICS |x Geometry |x General. |2 bisacsh | |
| 650 | 7 | |a Espacios de Banach |2 embne | |
| 650 | 7 | |a Banach spaces |2 fast | |
| 650 | 7 | |a Maslov index |2 fast | |
| 650 | 7 | |a Symplectic spaces |2 fast | |
| 700 | 1 | |a Zhu, Chaofeng, |d 1973- |e author. |1 https://id.oclc.org/worldcat/entity/E39PCjFFQkX7cWK7hvD8X9xcrq | |
| 710 | 2 | |a American Mathematical Society, |e publisher. | |
| 758 | |i has work: |a The Maslov index in symplectic Banach spaces (Text) |1 https://id.oclc.org/worldcat/entity/E39PCGTxxDghkd8HT9CmrT6GDy |4 https://id.oclc.org/worldcat/ontology/hasWork | ||
| 776 | 0 | 8 | |i Print version: |a Booss, Bernhelm, 1941- |t Maslov index in symplectic Banach spaces |z 9781470428006 |w (DLC) 2018005045 |w (OCoLC)1016026819 |
| 830 | 0 | |a Memoirs of the American Mathematical Society ; |v no. 1201. | |
| 856 | 4 | 0 | |u https://ebookcentral.uam.elogim.com/lib/uam-ebooks/detail.action?docID=5347051 |z Texto completo |
| 938 | |a Askews and Holts Library Services |b ASKH |n AH37445153 | ||
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| 938 | |a EBSCOhost |b EBSC |n 1790378 | ||
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| 994 | |a 92 |b IZTAP | ||