On μ-scale invariant operators

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We introduce the concept of a μ-scale invariant operator with respect to unitary transformation in a separable complex Hilbert space. We show that if a nonnegative densely defined symmetric operator is μ-scale invariant for some μ>0, then both the Friedrichs and the Krein-von Neumann extensions are also μ-scale invariant.

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Mathematical Physics, Spectral Theory, 47A63, 47B25, 47B65

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http://salesiana.dossiersoluciones.com/handle/123456789/122509

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math-ph/0701060
 http://arxiv.org/abs/math-ph/0701060

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arXiv