A Symmetric Operator Maximal with Respect to a Generalised Resolution of the Identity
نویسنده
چکیده
In general, a symmetric operator does not have a unique spectral function. If T is a symmetric operator and F(t) is a spectral function for T, by the theory of Naimark (see Akhiezer and Glazman [1]) there exists a Hilbert space H of which H is a subspace and a self-adjoint operator T onif with resolution of the identity E(t) such that T + is an extension of T and F(t) = P£(<) where P is the projection
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