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...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autores principales: Booss, Bernhelm, 1941- (Autor), Zhu, Chaofeng, 1973- (Autor)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Providence, RI : American Mathematical Society, [2018]
Colección:Memoirs of the American Mathematical Society ; no. 1201.
Temas:
Maslov index.
Symplectic spaces.
Banach spaces.
Indices de Maslov.
Espaces symplectiques.
Espaces de Banach.
MATHEMATICS > Geometry > General.
Espacios de Banach
Banach spaces
Maslov index
Symplectic spaces
Acceso en línea:Texto completo
Tabla de Contenidos:
  • PART 1. Maslov index in symplectic Banach spaces.
  • General theory of symplectic analysis in Banach spaces
  • The Maslov index in strong symplectic Hilbert space
  • The Maslov index in Banach bundles over a closed interval
  • PART 2. Applications in global analysis. The desuspension spectral flow formula
  • Appendix A. Perturbation of closed subspaces in Banach spaces.

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