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On the Relative Projection Constants of Certain Classes of Subspaces of \(l_\infty^{2n}\)

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Functional Analysis and Its Applications Aims and scope

Abstract

Relative projection constants of certain classes of cubspaces of codimension 2 in \(l_\infty^{2n}\) are found. The minimal projections under considerations are of two kinds, with unit norm and with norm larger than 1.

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References

  1. J. Blätter and E. W. Cheney, Ann. Mat. Pura Appl. (4), 101 (1974), 215–227.

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  2. O. M. Martynov, Funkts. Anal. Prilozhen., 53:3 (2019), 33–44; English transl.: Functional Anal. Appl., 53:3 (2019), 182–191.

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Authors and Affiliations

  1. Zhukov Air and Space Defense Academy, Tver, Russia

    O. M. Martynov

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  1. O. M. Martynov
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Correspondence to O. M. Martynov.

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Translated from Funktsional'nyi Analiz i ego Prilozheniya, 2020, Vol. 54, pp. 98-101 https://doi.org/10.4213/faa3755.

Translated by O. V. Sipacheva

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Martynov, O.M. On the Relative Projection Constants of Certain Classes of Subspaces of \(l_\infty^{2n}\). Funct Anal Its Appl 54, 306–309 (2020). https://doi.org/10.1134/S0016266320040085

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  • DOI: https://doi.org/10.1134/S0016266320040085

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