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Convergence of Self-Adjoint Operators

Part of the Progress in Mathematical Physics book series (PMP, volume 54)

Abstract

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.

Keywords

Dirac Operator Strong Convergence Resolvent Operator Norm Dynamical Resolvent Identity 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Birkhäuser Verlag AG 2009

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