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  • ALMOST INVARIANT HALF-SPACES FOR OPERATORS ON HILBERT SPACE

  • Part of
  • IL BONG JUNG, EUNGIL KO, CARL PEARCY
  • Journal:
    Bulletin of the Australian Mathematical Society / Volume 97 / Issue 1 / February 2018
    Published online by Cambridge University Press:
    31 August 2017, pp. 133-140
    Print publication:
    February 2018
    • Article
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  • The theory of almost invariant half-spaces for operators on Banach spaces was begun recently and is now under active development. Much less attention has been given to almost invariant half-spaces for operators on Hilbert space, where some techniques and results are available that are not present in the more general context of Banach spaces. In this note, we begin such a study. Our much simpler and shorter proofs of the main theorems have important consequences for the matricial structure of arbitrary operators on Hilbert space.