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Norm Estimates for Matrices with Arbitrary Elements Constantin Binary Blocks

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Abstract

A sequence of recursively constructed matrices which are dyadic analogues of Hilbert matrices is considered. The operator norm of these matrices in a Euclidean space is studied. Estimates of norms of matrices optimal in order and their lower triangular parts are obtained.

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REFERENCES

  1. B. S. Kashin, ‘‘Dyadic analogues of Hilbert matrices,’’ Russ. Math. Surv. 71, 1135–1136 (2016). doi https://doi.org/10.1070/RM9752

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  2. E. M. Dyuzhev, ‘‘Estimate of the norms of matrices whose entries are constant in binary blocks,’’ Math. Notes 104, 749–752 (2018). doi https://doi.org/10.1134/S0001434618110172

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Funding

This work is supported by the Theoretical Physics and Mathematics Advancement Foundation ‘‘BASIS’’.

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Authors and Affiliations

  1. Chair of Theory of Functions and Functional Analysis, Faculty of Mechanics and Mathematics, Lomonosov Moscow State University, Moscow, Russia

    E. M. Diuzhev

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  1. E. M. Diuzhev
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Correspondence to E. M. Diuzhev.

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Translated by A. Muravnik

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Diuzhev, E.M. Norm Estimates for Matrices with Arbitrary Elements Constantin Binary Blocks. Moscow Univ. Math. Bull. 75, 126–128 (2020). https://doi.org/10.3103/S002713222003002X

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  • DOI: https://doi.org/10.3103/S002713222003002X

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