Abstract
Given a linear bounded operator A on a Banach space X, it is in general rather difficult to decide whether the equation Ax = y with x, y ∈ X is uniquely solvable for each right side y, and to solve this equation practically, or, in other words, to decide whether the operator A is invertible, and to determine its inverse A −1. For that reason, besides this “classical” invertibility of A, other invertibility concepts are in discussion.
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References
Prößdorf, S., Silbermann, B.: Numerical analysis for integral and related operator equations. Akademie-Verlag, Berlin 1991, and Birkhäuser Verlag, Basel-Boston-Berlin 1991.
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Hagen, R., Roch, S., Silbermann, B.: Spectral theory of approximation methods for convolution operators. Birkhäuser Verlag, Basel (to appear in 1994).
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© 1994 Springer Fachmedien Wiesbaden
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Roch, S. (1994). Spectral Theory of Approximation Methods for Convolution Equations. In: Jentsch, L., Tröltzsch, F. (eds) Problems and Methods in Mathematical Physics. TEUBNER-TEXTE zur Mathematik. Vieweg+Teubner Verlag, Wiesbaden. https://doi.org/10.1007/978-3-322-85161-1_16
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DOI: https://doi.org/10.1007/978-3-322-85161-1_16
Publisher Name: Vieweg+Teubner Verlag, Wiesbaden
Print ISBN: 978-3-322-85162-8
Online ISBN: 978-3-322-85161-1
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