Abstract
Let S 1 and S 2 be closed symmetric linear relations in Hilbert spaces H 1 and H 2 with finite and equal defect numbers. The selfadjoint extensions of the closed symmetric linear relation S = S 1 ⊕ S 2 are studied and a description for these extensions in the Hilbert space H 1 is given. The results are applied to a class of differential operators.
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Dedicated to Heinz Langer on the occasion of his 60th birthday
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Hassi, S., Kaltenbäck, M., De Snoo, H. (1998). Selfadjoint extensions of the orthogonal sum of symmetric relations, II. In: Dijksma, A., Gohberg, I., Kaashoek, M.A., Mennicken, R. (eds) Contributions to Operator Theory in Spaces with an Indefinite Metric. Operator Theory Advances and Applications, vol 106. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-8812-7_9
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DOI: https://doi.org/10.1007/978-3-0348-8812-7_9
Publisher Name: Birkhäuser, Basel
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