The spectral mapping theorem for joint approximate point spectrum

@article{Choi1974TheSM,
  title={The spectral mapping theorem for joint approximate point spectrum},
  author={M. Choi and C. Davis},
  journal={Bulletin of the American Mathematical Society},
  year={1974},
  volume={80},
  pages={317-321}
}
  • M. Choi, C. Davis
  • Published 1974
  • Mathematics
  • Bulletin of the American Mathematical Society
  • The spectral mapping theorem for joint approximate point spectrum is proved when A is an «-tuple of commuting operators on a Banach space and ƒ is any w-tuple of rational functions for which f (A) is defined. The purpose of the paper is to show how properties of parts of the joint spectrum can be obtained by use of spaces of sequences of vectors. The method (first used for general Banach spaces in [4]) provides very simple proofs of some known results ; but the main result is believed to be new… CONTINUE READING
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    References

    SHOWING 1-10 OF 16 REFERENCES
    On hulls of linear operators
    • 7
    Approximate proper vectors
    • 127
    • PDF
    Introduction to functional analysis
    • 694
    Functional Analysis And Semi-Groups
    • 2,943
    A joint spectrum for several commuting operators
    • 360
    • PDF
    The joint spectrum of commuting nonnormal operators
    • 39
    • Highly Influential
    • PDF
    The spectral mapping theorem in several variables
    • 20
    • PDF
    Functional analysis and semigroups
    • Amer. Math. Soc. Colloq. Publ.,
    • 1957
    General Theory of Banach Algebra
    • 716
    General Theory of Banach Algebras
    • 517