Geodesic
Halmos problems and related results in the theory of invariant subspaces
Trudy Matematicheskogo Instituta imeni V.A. Steklova, Tome 73 (2018) no. 1, pp. 31-90

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

This paper contains a survey of main results in the theory of invariant subspaces that have a direct or intermediate connection with the well-known list of problems in operator theory posed by Halmos in 1970. For most results we present brief proofs, schemes of proofs, or basic ideas of proofs. Bibliography: 124 titles.
Keywords: Banach space, linear operator, operator algebra, invariant subspace. 
@article{RM_2018_73_1_a1,
     author = {V. I. Lomonosov and V. S. Shulman},
     title = {Halmos problems and related results in the theory of invariant subspaces},
     journal = {Trudy Matematicheskogo Instituta imeni V.A. Steklova},
     pages = {31--90},
     publisher = {mathdoc},
     volume = {73},
     number = {1},
     year = {2018},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/RM_2018_73_1_a1/}
}
TY  - JOUR
AU  - V. I. Lomonosov
AU  - V. S. Shulman
TI  - Halmos problems and related results in the theory of invariant subspaces
JO  - Trudy Matematicheskogo Instituta imeni V.A. Steklova
PY  - 2018
SP  - 31
EP  - 90
VL  - 73
IS  - 1
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/RM_2018_73_1_a1/
LA  - en
ID  - RM_2018_73_1_a1
ER  - 
%0 Journal Article
%A V. I. Lomonosov
%A V. S. Shulman
%T Halmos problems and related results in the theory of invariant subspaces
%J Trudy Matematicheskogo Instituta imeni V.A. Steklova
%D 2018
%P 31-90
%V 73
%N 1
%I mathdoc
%U http://geodesic.mathdoc.fr/item/RM_2018_73_1_a1/
%G en
%F RM_2018_73_1_a1
V. I. Lomonosov; V. S. Shulman. Halmos problems and related results in the theory of invariant subspaces. Trudy Matematicheskogo Instituta imeni V.A. Steklova, Tome 73 (2018) no. 1, pp. 31-90. http://geodesic.mathdoc.fr/item/RM_2018_73_1_a1/