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A variational principle in discrete space–time: existence of minimizers

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Abstract

We formulate a variational principle for a collection of projectors in an indefinite inner product space. The existence of minimizers is proved in various situations.

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References

  1. Bognar J. (1974). Indefinite inner product spaces. Ergebnisse der Mathematik und ihrer Grenzgebiete, Band 78. Springer, Berlin Heidelberg New York

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  2. Finster, F.: The principle of the fermionic projector. AMS/IP Stud. Adv. Math. 35 (2006)

  3. Gohberg I., Lancaster P., Rodman L.(1983). Matrices and Indefinite Scalar Products. Birkhäuser, Basel

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Authors and Affiliations

  1. NWFI—Mathematik, Universität Regensburg, 93040, Regensburg, Germany

    Felix Finster

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  1. Felix Finster
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Correspondence to Felix Finster.

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Finster, F. A variational principle in discrete space–time: existence of minimizers. Calc. Var. 29, 431–453 (2007). https://doi.org/10.1007/s00526-006-0042-0

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  • DOI: https://doi.org/10.1007/s00526-006-0042-0

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