Invariant subspace problem for ExB-Operators

muneo cho


Abstract. In this paper, we show the following: Let A; B∗ be ExB-operators on a complex Hilbert space H.
If there exists a non-zero compact operator K such that AK = aKB + bK (0 , a; b ∈ C), then A and B have a
non-trivial invariant subspace.

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