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arXiv · 1107.3010

On the Space of Symmetric Operators with Multiple Ground States

Andrei Agrachev
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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.

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Andrei Agrachev. 2011-07-15. On the Space of Symmetric Operators with Multiple Ground States. https://arxiv.org/abs/1107.3010

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