Generalization of von Neumann's spectral sets and integral representation of operators

Bernard Delyon; François Delyon

Bulletin de la Société Mathématique de France (1999)

  • Volume: 127, Issue: 1, page 25-41
  • ISSN: 0037-9484

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Delyon, Bernard, and Delyon, François. "Generalization of von Neumann's spectral sets and integral representation of operators." Bulletin de la Société Mathématique de France 127.1 (1999): 25-41. <http://eudml.org/doc/87800>.

@article{Delyon1999,
author = {Delyon, Bernard, Delyon, François},
journal = {Bulletin de la Société Mathématique de France},
keywords = {numerical range; field of values; spectral sets; spectral measures; integral representation; functional calculus; non-normal operators; Burkholder conjecture},
language = {eng},
number = {1},
pages = {25-41},
publisher = {Société mathématique de France},
title = {Generalization of von Neumann's spectral sets and integral representation of operators},
url = {http://eudml.org/doc/87800},
volume = {127},
year = {1999},
}

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
PB - Société mathématique de France
VL - 127
IS - 1
SP - 25
EP - 41
LA - eng
KW - numerical range; field of values; spectral sets; spectral measures; integral representation; functional calculus; non-normal operators; Burkholder conjecture
UR - http://eudml.org/doc/87800
ER -

References

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  1. [1] BRUNEL (A.). — Les M-espérances conditionnelles. — Laboratoire de probabilités, Université Pierre et Marie Curie, Paris, 1996. 
  2. [2] KRENGEL (U.). — Ergodic Theorems. — Walter de Gruyter, Berlin, 1985. Zbl0575.28009MR87i:28001
  3. [3] VON NEUMANN (J.). — Eine Spektraltheorie für allgemeine Operatoren eines unitären Raumes, Math. Nachrichten, t. 4, 1951, p. 258-281. Zbl0042.12301MR13,254a
  4. [4] RIESZ (F.), NAGY (B.Sz.). — Leçons d'analyse fonctionnelle. — Gauthier-Villars, Paris, 1968. 
  5. [5] KATO (T.). — Perturbation theory for linear operators. — Springer-Verlag, 1966. Zbl0148.12601MR34 #3324
  6. [6] RUDIN (W.). — Real and complex analysis. — Mc Graw-Hill, 1974. Zbl0278.26001MR49 #8783
  7. [7] STEIN (E.). — Topics in Harmonic Analysis. — Princeton University Press, 1970. Zbl0193.10502
  8. [8] STEIN (E.). — On the maximal ergodic theorem, Proc. Nat. Acad. Sci. USA, t. 47, 1961, p. 1894-1897. Zbl0182.47102MR24 #A1367
  9. [9] ZAHAROPOL (R.). — On products of conditional expectation operators, Can. Math. Bull., t. 33, n° 3, 1990, p. 257-260. Zbl0755.47008MR91j:47007

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