46 citations · 155 across the 21 of their papers we have counts for
6 papers · 1 filter
The Maslov index in weak symplectic functional analysis
Bernhelm Booss-Bavnbek, Chaofeng Zhu
We recall the Chernoff-Marsden definition of weak symplectic structure and give a rigorous treatment of the functional analysis and geometry of weak symplectic Banach spaces. We de…
Continuous Variation of Cauchy Data Spaces. Task - Results - Open Problems
Bernhelm Booss-Bavnbek, Matthias Lesch, Chaofeng Zhu
Summary of a talk given at the International Seminar "Analysis of spectral invariants and related operator theory", Tokyo University of Science, Unga Campus, 5-6 Oct. 2009
The Calderon Projection: New Definition and Applications
Bernhelm Booss-Bavnbek, Matthias Lesch, Chaofeng Zhu
We consider an arbitrary linear elliptic first--order differential operator A with smooth coefficients acting between sections of complex vector bundles E,F over a compact smooth m…
The invertible double of elliptic operators
Bernhelm Booss-Bavnbek, Matthias Lesch
First, we review the Dirac operator folklore about basic analytic and geometrical properties of operators of Dirac type on compact manifolds with smooth boundary and on closed part…
General Spectral Flow Formula for Fixed Maximal Domain
Bernhelm Booss-Bavnbek, Chaofeng Zhu
We consider a continuous curve of linear elliptic formally self-adjoint differential operators of first order with smooth coefficients over a compact Riemannian manifold with bound…
Weak Symplectic Functional Analysis and General Spectral Flow Formula
Bernhelm Booss-Bavnbek, Chaofeng Zhu
We consider a continuous curve of self-adjoint Fredholm extensions of a curve of closed symmetric operators with fixed minimal domain and fixed {\it intermediate} domain $D_W…