Abstract
The relationship between the generalized invertibility of a general Wiener-Hopf operator P 2 A∣ImP1 acting from a Banach space X into a Banach space Y (P 1, P 2 are projections on X,Y, respectively, and A : X → Y is bounded invertible) and the existence of a decomposition of the space as a direct sum of certain subspaces of Y related to Im (AP 1) and Ker P 2 is examined. The explicit calculation of the projection associated with this decomposition is studied. An example corresponding to a singular integral equation on a finite interval is given.
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Dedicated to Israel Gohberg on the occasion of his 60th birthday
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© 1989 Birkhäuser Verlag Basel
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dos Santos, A.F. (1989). General Wiener-Hopf Operators and Representation of their Generalized Inverses. In: Dym, H., Goldberg, S., Kaashoek, M.A., Lancaster, P. (eds) The Gohberg Anniversary Collection. Operator Theory: Advances and Applications, vol 41. Birkhäuser Basel. https://doi.org/10.1007/978-3-0348-9278-0_25
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DOI: https://doi.org/10.1007/978-3-0348-9278-0_25
Publisher Name: Birkhäuser Basel
Print ISBN: 978-3-0348-9975-8
Online ISBN: 978-3-0348-9278-0
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