A purely analytic criterion for a decomposable operator
Glasgow mathematical journal, Tome 21 (1980) no. 1, pp. 69-70

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

In [3] E. Bishop introduced the notion of an operator with a “duality theory of type 3” and gave a certain sufficient condition for an operator to have a duality theory of type 3. In this note we show that in fact Bishop's sufficient condition implies that a given operator is decomposable [4]. Moreover, this condition characterizes a decomposable operator.
Lange, Ridgley. A purely analytic criterion for a decomposable operator. Glasgow mathematical journal, Tome 21 (1980) no. 1, pp. 69-70. doi: 10.1017/S0017089500003992
@article{10_1017_S0017089500003992,
     author = {Lange, Ridgley},
     title = {A purely analytic criterion for a decomposable operator},
     journal = {Glasgow mathematical journal},
     pages = {69--70},
     year = {1980},
     volume = {21},
     number = {1},
     doi = {10.1017/S0017089500003992},
     url = {http://geodesic.mathdoc.fr/articles/10.1017/S0017089500003992/}
}
TY  - JOUR
AU  - Lange, Ridgley
TI  - A purely analytic criterion for a decomposable operator
JO  - Glasgow mathematical journal
PY  - 1980
SP  - 69
EP  - 70
VL  - 21
IS  - 1
UR  - http://geodesic.mathdoc.fr/articles/10.1017/S0017089500003992/
DO  - 10.1017/S0017089500003992
ID  - 10_1017_S0017089500003992
ER  - 
%0 Journal Article
%A Lange, Ridgley
%T A purely analytic criterion for a decomposable operator
%J Glasgow mathematical journal
%D 1980
%P 69-70
%V 21
%N 1
%U http://geodesic.mathdoc.fr/articles/10.1017/S0017089500003992/
%R 10.1017/S0017089500003992
%F 10_1017_S0017089500003992

[1] 1.Albrecht, E., An example of a weakly decomposable operator which is not decomposable Rev. Roumaine Math. Pures Appl. 20 (1975), 855–861. Google Scholar

[2] 2.Apostol, C., Roots of decomposable operator-valued analytic function, Rev. Roumam Math. Pures Appl. 13 (1968), 147–150. Google Scholar

[3] 3.Bishop, E., A duality theory for an arbitrary operator, Pacific J. Math. 9 (1959), 379–397. Google Scholar | DOI

[4] 4.Foias, C., Spectral maximal spaces and decomposable operators in Banach spaces, Arch Math. (Basel) 14 (1963), 341–349. Google Scholar | DOI

[5] 5.Foias, C., On the maximal spectral spaces of a decomposable operator, Rev. Roumain Math. Pures. Appl. 15 (1970), 1599–1606. Google Scholar

[6] 6.Frunza, S., A duality theorem for decomposable operators, Rev. Roumaine Math. Pure Appl. 16 (1971), 1055–1058. Google Scholar

[7] 7.Radjabalipour, M., Equivalence of decomposable and 2-decomposable operators, Pacific Math., 28 (1978), 243–247 Google Scholar | DOI

Cité par Sources :