The natural linear operators $T*⇝T{T}^{\left(r\right)}$

J. Kurek, and W. M. Mikulski. "The natural linear operators $T* ⇝ TT^{(r)}$." Colloquium Mathematicae 95.1 (2003): 37-47. <http://eudml.org/doc/285135>.

@article{J2003,
abstract = {For natural numbers n ≥ 3 and r a complete description of all natural bilinear operators $T*×_\{ℳ fₙ\} T^\{(0,0)\} ⇝ T^\{(0,0)\}T^\{(r)\}$ is presented. Next for natural numbers r and n ≥ 3 a full classification of all natural linear operators $T*_\{|ℳ fₙ\} ⇝ TT^\{(r)\}$ is obtained.},
author = {J. Kurek, W. M. Mikulski},
journal = {Colloquium Mathematicae},
keywords = {bundle functor; natural operator; tangent functor},
language = {eng},
number = {1},
pages = {37-47},
title = {The natural linear operators $T* ⇝ TT^\{(r)\}$},
url = {http://eudml.org/doc/285135},
volume = {95},
year = {2003},
}

TY - JOUR
AU - J. Kurek
AU - W. M. Mikulski
TI - The natural linear operators $T* ⇝ TT^{(r)}$
JO - Colloquium Mathematicae
PY - 2003
VL - 95
IS - 1
SP - 37
EP - 47
AB - For natural numbers n ≥ 3 and r a complete description of all natural bilinear operators $T*×_{ℳ fₙ} T^{(0,0)} ⇝ T^{(0,0)}T^{(r)}$ is presented. Next for natural numbers r and n ≥ 3 a full classification of all natural linear operators $T*_{|ℳ fₙ} ⇝ TT^{(r)}$ is obtained.
LA - eng
KW - bundle functor; natural operator; tangent functor
UR - http://eudml.org/doc/285135
ER -