The inversion of linear operators acting on distributions. I

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The Inversion Problem for Computable Linear Operators

Given a program of a linear bounded and bijective operator T , does there exist a program for the inverse operator T−1? And if this is the case, does there exist a general algorithm to transfer a program of T into a program of T−1? This is the inversion problem for computable linear operators on Banach spaces in its non-uniform and uniform formulation, respectively. We study this problem from t...

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ژورنال

عنوان ژورنال: Indagationes Mathematicae (Proceedings)

سال: 1959

ISSN: 1385-7258

DOI: 10.1016/s1385-7258(59)50010-4