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Spectral theory of bounded operators

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Abstract

A functional model of a continuous operator, whose characteristic function is bounded in the unit circle, is constructed. The spectral projections of the absolutely continuous spectrum are defined and computed.

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Literature cited

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Additional information

Translated from Teoriya Funktsii, Funktsional'nyi Analiz i Ikh Prilozheniya, No. 50, pp. 77–82, 1988.

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Petrov, A.M. Spectral theory of bounded operators. J Math Sci 49, 1291–1294 (1990). https://doi.org/10.1007/BF02209175

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Keywords

  • Characteristic Function
  • Unit Circle
  • Bounded Operator
  • Continuous Spectrum
  • Spectral Theory