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Factorization of Infinite L-matrices

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Abstract

We present two families of L-matrices and investigate their properties using intricate factorization techniques. These factorization schemes involve well-known matrices such as the classical Cesàro, Gamma, Hausdorff, and Hilbert matrices, which are utilized to assess the norm of L-matrices. Additionally, these factorizations give rise to novel and intriguing inequalities in sequence spaces.

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Correspondence to Hadi Roopaei.

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This work was partially supported by the NSERC Discovery Grant (Canada).

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Mashreghi, J., Roopaei, H. Factorization of Infinite L-matrices. Results Math 78, 207 (2023). https://doi.org/10.1007/s00025-023-01996-2

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