On the similarity of boundary triples of symmetric operators in Krein spaces

Rytis Jursenas

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arXiv · 2303.04601

On the similarity of boundary triples of symmetric operators in Krein spaces

Rytis Jursenas

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Abstract

It is a classical result that the Weyl function of a simple symmetric operator in a Hilbert space determines a boundary triple uniquely up to unitary equivalence. We generalize this result to a simple symmetric operator in a Pontryagin space, where unitary equivalence is replaced by the similarity realized via a standard unitary operator.

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Rytis Jursenas. 2023-03-08. On the similarity of boundary triples of symmetric operators in Krein spaces. https://arxiv.org/abs/2303.04601

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