Geodesic
Restriction of an operator to the range of its powers
Studia Mathematica, Tome 140 (2000) no. 2, pp. 163-175

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

DOI

Let T be a bounded linear operator acting on a Banach space X. For each integer n, define $T_n$ to be the restriction of T to $ R(T^n) $ viewed as a map from $R(T^n)$ into $R(T^n)$. In [1] and [2] we have characterized operators T such that for a given integer n, the operator $T_n$ is a Fredholm or a semi-Fredholm operator. We continue those investigations and we study the cases where $T_n$ belongs to a given regularity in the sense defined by Kordula and Müller in[10]. We also consider the regularity of operators with topological uniform descent. 
M. Berkani. Restriction of an operator to the range of its powers. Studia Mathematica, Tome 140 (2000) no. 2, pp. 163-175. doi: 10.4064/sm-140-2-163-175
@article{10_4064_sm_140_2_163_175,
     author = {M. Berkani},
     title = {Restriction of an operator to the range of its powers},
     journal = {Studia Mathematica},
     pages = {163--175},
     year = {2000},
     volume = {140},
     number = {2},
     doi = {10.4064/sm-140-2-163-175},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.4064/sm-140-2-163-175/}
}
TY  - JOUR
AU  - M. Berkani
TI  - Restriction of an operator to the range of its powers
JO  - Studia Mathematica
PY  - 2000
SP  - 163
EP  - 175
VL  - 140
IS  - 2
UR  - http://geodesic.mathdoc.fr/articles/10.4064/sm-140-2-163-175/
DO  - 10.4064/sm-140-2-163-175
LA  - en
ID  - 10_4064_sm_140_2_163_175
ER  - 
%0 Journal Article
%A M. Berkani
%T Restriction of an operator to the range of its powers
%J Studia Mathematica
%D 2000
%P 163-175
%V 140
%N 2
%U http://geodesic.mathdoc.fr/articles/10.4064/sm-140-2-163-175/
%R 10.4064/sm-140-2-163-175
%G en
%F 10_4064_sm_140_2_163_175

Cité par Sources :