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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Bibliographic Details
Call Number:Libro Electrónico
Main Authors: Booss, Bernhelm, 1941- (Author), Zhu, Chaofeng, 1973- (Author)
Format: Electronic eBook
Language:Inglés
Published: Providence, RI : American Mathematical Society, [2018]
Series:Memoirs of the American Mathematical Society ; no. 1201.
Subjects:
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
Online Access:Texto completo
Table of Contents:
  • 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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