Geodesic
THE CLOSED RANGE PROPERTY FOR BANACH SPACE OPERATORS
Glasgow mathematical journal, Tome 50 (2008) no. 1, pp. 17-26

Voir la notice de l'article provenant de la source Cambridge

DOI

Let T be a bounded operator on a complex Banach space X. Let V be an open subset of the complex plane. We give a condition sufficient for the mapping f(z)↦ (T−z)f(z) to have closed range in the Fréchet space H(V, X) of analytic X-valued functions on V. Moreover, we show that there is a largest open set U for which the map f(z)↦ (T−z)f(z) has closed range in H(V, X) for all V⊆U. Finally, we establish analogous results in the setting of the weak–* topology on H(V, X*).
DOI : 10.1017/S0017089507003898
Mots-clés : 47A11 
MILLER, THOMAS L.; MÜLLER, VLADIMIR. THE CLOSED RANGE PROPERTY FOR BANACH SPACE OPERATORS. Glasgow mathematical journal, Tome 50 (2008) no. 1, pp. 17-26. doi: 10.1017/S0017089507003898
@article{10_1017_S0017089507003898,
     author = {MILLER, THOMAS L. and M\"ULLER, VLADIMIR},
     title = {THE {CLOSED} {RANGE} {PROPERTY} {FOR} {BANACH} {SPACE} {OPERATORS}},
     journal = {Glasgow mathematical journal},
     pages = {17--26},
     year = {2008},
     volume = {50},
     number = {1},
     doi = {10.1017/S0017089507003898},
     url = {http://geodesic.mathdoc.fr/articles/10.1017/S0017089507003898/}
}
TY  - JOUR
AU  - MILLER, THOMAS L.
AU  - MÜLLER, VLADIMIR
TI  - THE CLOSED RANGE PROPERTY FOR BANACH SPACE OPERATORS
JO  - Glasgow mathematical journal
PY  - 2008
SP  - 17
EP  - 26
VL  - 50
IS  - 1
UR  - http://geodesic.mathdoc.fr/articles/10.1017/S0017089507003898/
DO  - 10.1017/S0017089507003898
ID  - 10_1017_S0017089507003898
ER  - 
%0 Journal Article
%A MILLER, THOMAS L.
%A MÜLLER, VLADIMIR
%T THE CLOSED RANGE PROPERTY FOR BANACH SPACE OPERATORS
%J Glasgow mathematical journal
%D 2008
%P 17-26
%V 50
%N 1
%U http://geodesic.mathdoc.fr/articles/10.1017/S0017089507003898/
%R 10.1017/S0017089507003898
%F 10_1017_S0017089507003898

Cité par Sources :