Bi-extensions of Closed Symmetric Operators
In this chapter we introduce and consider a new type of extensions of a given symmetric operator with its exit into the triplets of Hilbert spaces. These new extensions are called bi-extensions. We present a complete description and parameterizations of these bi-extensions. Special attention is paid to so-called twice self-adjoint (t-self-adjoint ) bi-extensions that will play an important role in the remaining part of this text.
KeywordsAdjoint Operator Symmetric Operator Linear Manifold Bijective Correspondence Unitary Extension
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