A.A. Agrachev, On the space of symmetric operators with multiple ground states

Title: On the space of symmetric operators with multiple ground states
Authors: A.A. Agrachev
Journal title: Func. Anal. and its Appl.
Year: 2011
Issue: 4
Volume: 45
Pages: 241-251
Citation:

A. A. Agrachev, “On the space of symmetric operators with multiple ground states”, Functional Analysis and Its Applications, 2011, 45:4, 241–251

Abstract:

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.

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