### A NOTE ON INVARIANT SUBSPACES FOR OPERATOR ALGEBRAS

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Lambert, Alan

• 발행 : 2003.11.01
• 10 2

#### 초록

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

#### 키워드

transitive algebras;invariant subspaces

#### 참고문헌

1. Canadian J. Math. Bull. v.34 pp.635-647 Some recent results on invariant subspaces P.Rosenthal
2. Pacific J. Math. v.30 no.3 pp.717-726 Strictly cyclic operator algebras A.Lambert
3. A Course in Functional Analysis(second ed.) J.Conway
4. Duke Math. J. v.34 pp.635-647 A density theorem for operator algebras W.B.Arveson https://doi.org/10.1215/S0012-7094-67-03467-9
5. Funkcional Anal. i prilozen v.7 pp.55-56 Invariant subspaces of families of operators commuting with a completely continuous operator V.Lomonosov