A+ CATEGORY SCIENTIFIC UNIT

The natural linear operators $T^*\rightsquigarrow TT^{(r)}$

Volume 95 / 2003

J. Kurek, W. M. Mikulski Colloquium Mathematicum 95 (2003), 37-47 MSC: Primary 58A20. DOI: 10.4064/cm95-1-3

Abstract

For natural numbers $n\geq 3$ and $r$ a complete description of all natural bilinear operators $T^{*}\times _{{\cal M}f_n} T^{(0,0)}\rightsquigarrow T^{(0,0)}T^{(r)}$ is presented. Next for natural numbers $r$ and $n\geq 3$ a full classification of all natural linear operators $T^*_{| {\cal M}f_n}\rightsquigarrow TT^{(r)}$ is obtained.

Authors

  • J. KurekInstitute of Mathematics
    Maria Curie-Skłodowska University
    Pl. Marii Curie-Skłodowskiej 1
    20-031 Lublin, Poland
    e-mail
  • W. M. MikulskiInstitute of Mathematics
    Jagiellonian University
    Reymonta 4
    30-059 Kraków, Poland
    e-mail

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