The Maslov index in weak symplectic functional analysis

DOI10.1007/s10455-013-9367-zzbMath1307.53063arXiv1301.7248OpenAlexW3105689873MaRDI QIDQ376349

Chaofeng Zhu, Bernhelm Booss-Bavnbek

Publication date: 4 November 2013

Published in: Annals of Global Analysis and Geometry (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1301.7248

zbMATH Keywords

spectral flowMaslov indexclosed relationsFredholm pairs of Lagrangianssymplectic splittingweak symplectic structure

Mathematics Subject Classification ID

(Semi-) Fredholm operators; index theories (47A53) Lagrangian submanifolds; Maslov index (53D12) Inner product spaces and their generalizations, Hilbert spaces (46C99) Spectral flows (58J30)

Related Items (14)

The Maslov index in weak symplectic functional analysis ⋮ Bifurcation of critical points along gap-continuous families of subspaces ⋮ Edge states for second order elliptic operators in a channel ⋮ The iteration formulae of the Maslov-type index theory in weak symplectic Hilbert space ⋮ Index iteration theories for periodic orbits: old and new ⋮ An index theorem for Schrödinger operators on metric graphs ⋮ On the Fredholm Lagrangian Grassmannian, spectral flow and ODEs in Hilbert spaces ⋮ The Maslov index and the spectra of second order elliptic operators ⋮ The Maslov Index in Symplectic Banach Spaces ⋮ General spectral flow formula for fixed maximal domain ⋮ Hörmander index in finite-dimensional case ⋮ A non-squeezing theorem for convex symplectic images of the Hilbert ball ⋮ The invertible double of elliptic operators ⋮ The Calderón projection: New definition and applications

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