On the Space of Symmetric Operators with Multiple Ground States

Title	On the Space of Symmetric Operators with Multiple Ground States
Publication Type	Journal Article
Year of Publication	2011
Authors	Agrachev, AA
Journal	Functional Analysis and its Applications, Volume 45, Issue 4, December 2011, Pages 241-251
Keywords	Multiple eigenvalue
Abstract	We study homological structure of the filtrations of the spaces of self-adjoint operators by the multiplicity of the ground state. We consider only operators acting in a finite dimensional complex or real Hilbert space but infinite dimensional generalizations are easily guessed.
URL	http://hdl.handle.net/1963/7069
DOI	10.1007/s10688-011-0026-5

Research Group:

Mathematics