Abstract
Let H H be a separable Hilbert space and A A a bounded operator on H H . For a selfadjoint projection P P on H H we consider the general Wiener-Hopf operator T P ( A ) = P A R ( P ) {T_P}(A) = P{A_{R(P)}} where R ( P ) R(P) denotes the range of P P . In this paper we study the relation between T P ( A ) {T_P}(A) and W ( A ) W(A) , the numerical range of A A . In particular we characterize those operators A A such that T P ( A ) {T_P}(A) is invertible for every P P .
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