Geodesic
Multishifts in Hilbert Spaces
Funkcionalʹnyj analiz i ego priloženiâ, Tome 39 (2005) no. 1, pp. 69-81

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

We introduce and study a multishift structure in a Hilbert space. This structure is a noncommutative analog of the (simple one-sided) shift operator, well known in function theory and functional analysis. Subspaces invariant under the multishift are described. A theorem on the factorization into an inner and an outer factor is established for operators commuting with the multishift.
Keywords: Hilbert space, shift operator, multishift, invariant subspace, wandering subspace, factorization theorem. 
@article{FAA_2005_39_1_a5,
     author = {P. A. Terekhin},
     title = {Multishifts in {Hilbert} {Spaces}},
     journal = {Funkcionalʹnyj analiz i ego prilo\v{z}eni\^a},
     pages = {69--81},
     publisher = {mathdoc},
     volume = {39},
     number = {1},
     year = {2005},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/FAA_2005_39_1_a5/}
}
TY  - JOUR
AU  - P. A. Terekhin
TI  - Multishifts in Hilbert Spaces
JO  - Funkcionalʹnyj analiz i ego priloženiâ
PY  - 2005
SP  - 69
EP  - 81
VL  - 39
IS  - 1
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/FAA_2005_39_1_a5/
LA  - ru
ID  - FAA_2005_39_1_a5
ER  - 
%0 Journal Article
%A P. A. Terekhin
%T Multishifts in Hilbert Spaces
%J Funkcionalʹnyj analiz i ego priloženiâ
%D 2005
%P 69-81
%V 39
%N 1
%I mathdoc
%U http://geodesic.mathdoc.fr/item/FAA_2005_39_1_a5/
%G ru
%F FAA_2005_39_1_a5
P. A. Terekhin. Multishifts in Hilbert Spaces. Funkcionalʹnyj analiz i ego priloženiâ, Tome 39 (2005) no. 1, pp. 69-81. http://geodesic.mathdoc.fr/item/FAA_2005_39_1_a5/