Non-Self-Adjoint Extensions of Symmetric Operators |
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Authors: | V. V. Kapustin |
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Affiliation: | (1) St.Petersburg Department of the Steklov Mathematical Institute, Russia |
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Abstract: | A previous result of the author concerning almost unitary operators is applied to the spectral analysis of non-self-adjoint extensions of symmetric operators. For this purpose, the Cayley transform of such an extension is written as a perturbation of a unitary operator by a finite-rank operator of a special form in terms of the Weyl function. Bibliography: 3 titles. |
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