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A Class of Sectorial Relations and the Associated Closed Forms
(Springer Nature, 2020-09-19)
- article
Let T be a closed linear relation from a Hilbert space H to a Hilbert space K and let B ∈ B(K) be selfadjoint. It will be shown that the relation T∗(I+iB)T is maximal sectorial via a matrix decomposition of B with respect ...
Spectral Decompositions of Selfadjoint Relations in Pontryagin Spaces and Factorizations of Generalized Nevanlinna Functions
(Birkhäuser, 2020-09-19)
- bookPart
Selfadjoint relations in Pontryagin spaces do not possess a spectral family completely characterizing them in the way that selfadjoint relations in Hilbert spaces do. Here it is shown that a combination of a factorization ...