On the similarity of boundary triples for dual pairs

Key Points

• The aim is to explore the conditions under which boundary triples for dual pairs of operators are similar, specifically in the context of unitary similarity.
• Analysis of the Weyl family in relation to boundary triples
• Mathematical proof of uniqueness up to similarity
• Establishment of conditions for unitary similarity
• Boundary triples are shown to be uniquely determined up to similarity by the Weyl family
• A necessary and sufficient condition for unitary similarity is identified