5 papers · 1 filter
The uniqueness of the spectral flow on spaces of unbounded self--adjoint Fredholm operators
Matthias Lesch
We discuss several natural metrics on spaces of unbounded self--adjoint operators and their relations, among them the Riesz and the graph metric. We show that the topologies of the…
Unbounded Fredholm Operators and Spectral Flow
Bernhelm Booss-Bavnbek, Matthias Lesch, John Phillips
We study the gap (= "projection norm" = "graph distance") topology of the space of (not necessarily bounded) self--adjoint Fredholm operators in a separable Hilbert space by the Ca…
On the number of square integrable solutions and self-adjointness of symmetric first order systems of differential equations
Matthias Lesch, Mark M. Malamud
The main purpose of this paper is to investigate the formal deficiency indices of a symmetric first order system on an interval , wh…
On boundary value problems for Dirac type operators. I. Regularity and self-adjointness
Jochen Brüning, Matthias Lesch
In a series of papers, we will develop systematically the basic spectral theory of (self-adjoint) boundary value problems for operators of Dirac type. We begin in this paper with t…
Traces on algebras of parameter dependent pseudodifferential operators and the eta-invariant
Matthias Lesch, Markus J. Pflaum
We identify Melrose's suspended algebra of pseudodifferential operators with a subalgebra of the algebra of parametric pseudodifferential operators with parameter space . For a…