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A NOTE ON INVARIANT SUBSPACES FOR OPERATOR ALGEBRAS

  • Lambert, Alan (Department of Mathematics, University of North Carolina at Charlotte)
  • Published : 2003.11.01

Abstract

Various operator relationships are shown to be equivalent to the existence of an invariant subspace for an algebra of operators.

References

  1. Duke Math. J. v.34 A density theorem for operator algebras W.B.Arveson https://doi.org/10.1215/S0012-7094-67-03467-9
  2. A Course in Functional Analysis(second ed.) J.Conway
  3. Pacific J. Math. v.30 no.3 Strictly cyclic operator algebras A.Lambert
  4. Funkcional Anal. i prilozen v.7 Invariant subspaces of families of operators commuting with a completely continuous operator V.Lomonosov
  5. Invariant subspaces H.Radjavi;P.Rosenthal
  6. Canadian J. Math. Bull. v.34 Some recent results on invariant subspaces P.Rosenthal