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SPECTRAL MEASURE [1 record]

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Record 1 1978-07-26

English

Subject field(s)
  • Mathematics
DEF

A function on the spectrum of an operator on a Hilbert space whose values are projection operators there; spectral theorems concerning linear operators often give an integral representation of the operator in terms of these projection operators and measures.

French

Domaine(s)
  • Mathématiques
CONT

Soit E un espace hilbertien. On appelle mesure spectrale (complexe) sur E une application S de la tribu borélienne de C dans l'ensemble des projecteurs de E. Une telle application est monotone, modulaire et multiplicative.

Spanish

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