Convergence of Self-Adjoint Operators
In this chapter T n and T denote (usually unbounded) self-adjoint operators acting in H. Due to domain intricacies, alternative concepts of operator convergence are introduced. The strong convergences in the resolvent and dynamical senses are shown to be equivalent. Some relations with spectrum are also discussed. Convergence to operators with shrinking domains are discussed with the help of sesquilinear forms, with application to the Aharonov-Bohm effect.
KeywordsDirac Operator Strong Convergence Resolvent Operator Norm Dynamical Resolvent Identity
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