# Invariant subspaces for Banach space operators with an annular spectral set

2008-01-01
Yavuz, Onur
Consider an annulus Omega = {z epsilon C : r(0) 0 such that parallel to p(T)parallel to <= K sup{vertical bar p(lambda)vertical bar : vertical bar lambda vertical bar <= 1} and parallel to p(r(0)T(-1))parallel to <= K sup{vertical bar p(lambda)vertical bar : vertical bar lambda vertical bar <= 1} for all polynomials p. Then there exists a nontrivial common invariant subspace for T* and T*(-1).

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Citation Formats
O. Yavuz, Invariant subspaces for Banach space operators with an annular spectral set. 2008, p. 2680.