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Schur multiplier characterization of a class of infinite matrices

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Abstract

Let B w (ℓp) denote the space of infinite matrices A for which A(x) ∈ ℓp for all x = {x k } ∞k=1 ∈ ℓp with |x k | ↘ 0. We characterize the upper triangular positive matrices from B w (ℓp), 1 < p < ∞, by using a special kind of Schur multipliers and the G. Bennett factorization technique. Also some related results are stated and discussed.

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Authors and Affiliations

  1. Department of Mathematics and Informatics, Technical University of Civil Engineering Bucharest, 124 Lacul Tei Boulevard, Bucharest, 020396, Romania

    A. Marcoci & L. Marcoci

  2. Department of Mathematics, Luleå University of Technology, SE-97 187, Luleå, Sweden

    L. E. Persson

  3. Department of Mathematics, University of Bucharest and Institute of Mathematics of Romanian Academy, P. O. BOX 1-764, RO-014700, Bucharest, Romania

    N. Popa

Authors
  1. A. Marcoci
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  2. L. Marcoci
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  3. L. E. Persson
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  4. N. Popa
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Corresponding author

Correspondence to A. Marcoci.

Additional information

The first two authors and the last author were partially supported by the CNCSIS grant ID-PCE 1905/2008.

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Marcoci, A., Marcoci, L., Persson, L.E. et al. Schur multiplier characterization of a class of infinite matrices. Czech Math J 60, 183–193 (2010). https://doi.org/10.1007/s10587-010-0008-4

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  • DOI: https://doi.org/10.1007/s10587-010-0008-4

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