Geodesic
The natural linear operators $T^*\rightsquigarrow TT^{(r)}$
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
Colloquium Mathematicum, Tome 95 (2003) no. 1, pp. 37-47 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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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.
DOI : 10.4064/cm95-1-3
Keywords: natural numbers geq complete description natural bilinear operators * times cal rightsquigarrow presented natural numbers geq full classification natural linear operators * cal rightsquigarrow obtained

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

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