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Spectral Convex Functions of Operators and Approximate Intertwining Relationships

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Abstract

We develop theoretical tools for the analysis of convex spectral functions of non-symmetric operators on Hilbert spaces. The obtained results are applied to an optimization problem arising from the theory of inverse problems, which involves the notion of intertwining relationship.

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Acknowledgements

The second author was supported by UMI 3069 PIMS EUROPE and the CNRS. Both authors wish to thank Shawn Wang and Heinz Bauschke for useful comments.

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Authors and Affiliations

  1. MAPMO, Université d’Orléans, Route de Chartres, BP 6759, 45067, Orléans cedex 2, France

    Xavier Bonnefond

  2. DMIA, Institut Supérieur de l’Aéronautique et de l’Espace, 10, Avenue Édouard Belin, BP 54032, 31055, Toulouse cedex 4, France

    Pierre Maréchal

Authors
  1. Xavier Bonnefond
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  2. Pierre Maréchal
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Correspondence to Xavier Bonnefond.

Additional information

Communicated by B. Dacorogna.

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Bonnefond, X., Maréchal, P. Spectral Convex Functions of Operators and Approximate Intertwining Relationships. J Optim Theory Appl 160, 30–48 (2014). https://doi.org/10.1007/s10957-013-0343-3

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  • DOI: https://doi.org/10.1007/s10957-013-0343-3

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