Generalization of von Neumann's spectral sets and integral representation of operators
Bulletin de la Société Mathématique de France, Tome 127 (1999) no. 1, pp. 25-41.
@article{BSMF_1999__127_1_25_0,
     author = {Delyon, Bernard and Delyon, Fran\c{c}ois},
     title = {Generalization of von {Neumann's} spectral sets and integral representation of operators},
     journal = {Bulletin de la Soci\'et\'e Math\'ematique de France},
     pages = {25--41},
     publisher = {Soci\'et\'e math\'ematique de France},
     volume = {127},
     number = {1},
     year = {1999},
     doi = {10.24033/bsmf.2340},
     mrnumber = {2000e:47017},
     zbl = {0937.47004},
     language = {en},
     url = {http://www.numdam.org/articles/10.24033/bsmf.2340/}
}
TY  - JOUR
AU  - Delyon, Bernard
AU  - Delyon, François
TI  - Generalization of von Neumann's spectral sets and integral representation of operators
JO  - Bulletin de la Société Mathématique de France
PY  - 1999
SP  - 25
EP  - 41
VL  - 127
IS  - 1
PB  - Société mathématique de France
UR  - http://www.numdam.org/articles/10.24033/bsmf.2340/
DO  - 10.24033/bsmf.2340
LA  - en
ID  - BSMF_1999__127_1_25_0
ER  - 
%0 Journal Article
%A Delyon, Bernard
%A Delyon, François
%T Generalization of von Neumann's spectral sets and integral representation of operators
%J Bulletin de la Société Mathématique de France
%D 1999
%P 25-41
%V 127
%N 1
%I Société mathématique de France
%U http://www.numdam.org/articles/10.24033/bsmf.2340/
%R 10.24033/bsmf.2340
%G en
%F BSMF_1999__127_1_25_0
Delyon, Bernard; Delyon, François. Generalization of von Neumann's spectral sets and integral representation of operators. Bulletin de la Société Mathématique de France, Tome 127 (1999) no. 1, pp. 25-41. doi : 10.24033/bsmf.2340. http://www.numdam.org/articles/10.24033/bsmf.2340/

[1] Brunel (A.). - Les M-espérances conditionnelles. - Laboratoire de probabilités, Université Pierre et Marie Curie, Paris, 1996.

[2] Krengel (U.). - Ergodic Theorems. - Walter de Gruyter, Berlin, 1985. | MR | Zbl

[3] Von Neumann (J.). - Eine Spektraltheorie für allgemeine Operatoren eines unitären Raumes, Math. Nachrichten, t. 4, 1951, p. 258-281. | MR | Zbl

[4] Riesz (F.), Nagy (B.Sz.). - Leçons d'analyse fonctionnelle. - Gauthier-Villars, Paris, 1968.

[5] Kato (T.). - Perturbation theory for linear operators. - Springer-Verlag, 1966. | MR | Zbl

[6] Rudin (W.). - Real and complex analysis. - Mc Graw-Hill, 1974. | MR | Zbl

[7] Stein (E.). - Topics in Harmonic Analysis. - Princeton University Press, 1970. | Zbl

[8] Stein (E.). - On the maximal ergodic theorem, Proc. Nat. Acad. Sci. USA, t. 47, 1961, p. 1894-1897. | MR | Zbl

[9] Zaharopol (R.). - On products of conditional expectation operators, Can. Math. Bull., t. 33, n° 3, 1990, p. 257-260. | MR | Zbl

Cité par Sources :