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Complex Analysis and Operator Theory

, Volume 4, Issue 2, pp 159–178 | Cite as

Commutator Estimates for Interpolation Scales with Holomorphic Structure

  • Ming FanEmail author
Article

Abstract

The main result of this paper is some quantitative estimates for nonlinear commutators under the complex interpolation methods and more general interpolation scales with holomorphic structures. We also investigate the spectral behaviour of bounded linear operators under this kind of interpolation methods.

Keywords

Homomorphic structure Interpolation Commutator Mixed reiteration Spectrum 

Mathematics Subject Classification (2000)

Primary 46B70 46M35 Secondary 47A10 47B47 

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Copyright information

© Birkhäuser Verlag Basel/Switzerland 2009

Authors and Affiliations

  1. 1.Department of EngineeringDalarna UniversityBorlängeSweden

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