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Completing the Riesz Dunford Functional Calculus Book PDF Summary

Let [script lowercase]f be any analytic function defined in a neighborhood of the non-empty set [italic]E and let [script]S([italic]E) denote the set of all operator having spectrum included in [italic]E. In this paper the closure and interior of the set [script lowercase]f([script]S([italic]E)) [identical equality] {[script lowercase]f([italic]A): [italic]A [set membership] [script]S([italic]E)} are characterized. Some applications serve to illustrate the interplay between the analyticity of the functions and the spectral behavior of the operators.

Detail Book of Completing the Riesz Dunford Functional Calculus PDF

Completing the Riesz Dunford Functional Calculus
  • Author : John B. Conway
  • Release : 20 September 1989
  • Publisher : American Mathematical Soc.
  • ISBN : 9780821824801
  • Genre : Mathematics
  • Total Page : 113 pages
  • Language : English
  • PDF File Size : 16,8 Mb

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