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.
On the space of symmetric operators with multiple ground states / Agrachev, Andrey. - In: FUNCTIONAL ANALYSIS AND ITS APPLICATIONS. - ISSN 0016-2663. - 45:4(2011), pp. 241-251. [10.1007/s10688-011-0026-5]
On the space of symmetric operators with multiple ground states
Agrachev, Andrey
2011-01-01
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.File in questo prodotto:
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