Geodesic
Invariant subspaces and unicellularity of operators of generalized integration in spaces of analytic functionals
Matematičeskie zametki, Tome 22 (1977) no. 2, pp. 221-230

Voir la notice de l'article provenant de la source Math-Net.Ru

Invariant subspaces are described and the unicellularity is proved of one class of operators of generalized integration in spaces of analytic functionals. As one of the realizations it is established that every nontrivial subspace, invariant relative to the integration $\int_a^zF(t)\,dt$, in the space of functions analytic in an arbitrary convex domain $\Omega$ ($a\in\Omega$), is determined by a positive integer m and consists of all functions equal to zero at point $a$ together with all derivatives up to order $m-1$. 
@article{MZM_1977_22_2_a6,
     author = {V. A. Tkachenko},
     title = {Invariant subspaces and unicellularity of operators of generalized integration in spaces of analytic functionals},
     journal = {Matemati\v{c}eskie zametki},
     pages = {221--230},
     publisher = {mathdoc},
     volume = {22},
     number = {2},
     year = {1977},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_1977_22_2_a6/}
}
TY  - JOUR
AU  - V. A. Tkachenko
TI  - Invariant subspaces and unicellularity of operators of generalized integration in spaces of analytic functionals
JO  - Matematičeskie zametki
PY  - 1977
SP  - 221
EP  - 230
VL  - 22
IS  - 2
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/MZM_1977_22_2_a6/
LA  - ru
ID  - MZM_1977_22_2_a6
ER  - 
%0 Journal Article
%A V. A. Tkachenko
%T Invariant subspaces and unicellularity of operators of generalized integration in spaces of analytic functionals
%J Matematičeskie zametki
%D 1977
%P 221-230
%V 22
%N 2
%I mathdoc
%U http://geodesic.mathdoc.fr/item/MZM_1977_22_2_a6/
%G ru
%F MZM_1977_22_2_a6
V. A. Tkachenko. Invariant subspaces and unicellularity of operators of generalized integration in spaces of analytic functionals. Matematičeskie zametki, Tome 22 (1977) no. 2, pp. 221-230. http://geodesic.mathdoc.fr/item/MZM_1977_22_2_a6/