# 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