proof app:A-long-proofs@proof-168

open in the book · appendices/A-long-proofs.tex:13346

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proof : app:A-long-proofs@proof-168prooflemma A.267: Isometry of A\pmiμ, and closed rangeA.267definition 12.79: Deficiency subspaces and indices12.79definition 12.72: Symmetric; self-adjoint12.72theorem 12.18: Projection theorem12.18definition A.269: Cayley transformA.269lemma A.268: The indices do not depend on μA.268proposition A.270: Properties of the transformA.270proposition A.273: Self-adjoint means unitaryA.273

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proves Isometry of $A\pm\ii\mu$, and closed range declared appendices/A-long-proofs.tex:13346