Title: On the space of symmetric operators with multiple ground states
Authors: A.A. Agrachev
Journal title: Func. Anal. and its Appl.
A. A. Agrachev, “On the space of symmetric operators with multiple ground states”, Functional Analysis and Its Applications, 2011, 45:4, 241–251
We study homological structure of the filtration of the space of selfadjoint 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.
MathNet (ENG): http://mi.mathnet.ru/eng/faa3049