On the invertibility of general Wiener-Hopf operators
Proc. Amer. Math. Soc. 27 (1971), 72-76
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Abstract: Let be a separable Hilbert space, the set of bounded linear operators on , and an orthogonal projection on . Denote the range of by . Let belong to . The general Wiener-Hopf operator associated with and is defined by , the vertical bar denoting restriction. Let . The purpose of this paper is to disprove the general conjecture that if is an invertible element of , then the invertibility of implies the invertibility of . We also disprove the conjecture in an interesting special case.
- A. Devinatz and M. Shinbrot, General Wiener-Hopf operators, Trans. Amer. Math. Soc. 145 (1969), 467-494. MR 0251573 (40:4800)
- V. J. Pellegrini, Wiener-Hopf operators, Ph.D. Thesis, Northwestern University, Evanston, Ill.
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General Wiener-Hopf operators
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American Mathematical Society