1Institute of Mathematics Maria Curie-Skłodowska University Pl. Marii Curie-Skłodowskiej 1 20-031 Lublin, Poland 2Institute of Mathematics Jagiellonian University Reymonta 4 30-059 Kraków, Poland
Colloquium Mathematicum, Tome 95 (2003) no. 1, pp. 37-47
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.
Keywords:
natural numbers geq complete description natural bilinear operators * times cal rightsquigarrow presented natural numbers geq full classification natural linear operators * cal rightsquigarrow obtained
Affiliations des auteurs :
J. Kurek 
1
;
W. M. Mikulski 
2
1
Institute of Mathematics Maria Curie-Skłodowska University Pl. Marii Curie-Skłodowskiej 1 20-031 Lublin, Poland
2
Institute of Mathematics Jagiellonian University Reymonta 4 30-059 Kraków, Poland
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J. Kurek; W. M. Mikulski. The natural linear operators $T^*\rightsquigarrow TT^{(r)}$. Colloquium Mathematicum, Tome 95 (2003) no. 1, pp. 37-47. doi: 10.4064/cm95-1-3