Capacity in abstract hilbert spaces and applications to higher order. differential operators |
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Authors: | Aiidrf Noll |
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Affiliation: | Inst. Fir Matheinatik , Germany E-mail: noll@tnnath.tu-claustha1.de |
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Abstract: | This paper introduces the notion of capacity in abstract Hilhertl spaces. It is proved that the spectral shift of aa self-adjoi at operator which is subjected to a, domain perturbation can he estimated in forms of this capacity. The results -are finally applied to higher-order partial differential operators |
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