The Maslov Index in Symplectic Banach Spaces

DOI10.1090/memo/1201OpenAlexW2130140069MaRDI QIDQ4645818

Bernhelm Booss-Bavnbek, Chaofeng Zhu

Publication date: 11 January 2019

Published in: Memoirs of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1406.0569

zbMATH Keywords

elliptic operatorssymplectic reductionMaslov indexunique continuation propertyvariational propertiesLagrangian subspaceswell-posed boundary conditionsweak symplectic structureBanach bundlesFredholm pairsCalderón projectionCauchy data spacesdesuspension spectral flow formula

Mathematics Subject Classification ID

Lagrangian submanifolds; Maslov index (53D12) Spectral flows (58J30)

Related Items

Self-adjoint local boundary problems on compact surfaces. I: Spectral flow, On the \(j\)th eigenvalue of Sturm-Liouville problem and the Maslov index, Relative oscillation theory for linear Hamiltonian systems with nonlinear dependence on the spectral parameter, Resolvent expansions for self‐adjoint operators via boundary triplets, Oscillation numbers for continuous Lagrangian paths and Maslov index, The iteration formulae of the Maslov-type index theory in weak symplectic Hilbert space, Continuity of families of Calderón projections, On the Maslov index in a symplectic reduction and applications, 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, Jacobi fields in optimal control: Morse and Maslov indices, Morse index theorem of Lagrangian systems and stability of brake orbit

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