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On the (non-)surjectivity of compact operators

First, a general method to construct compact surjective operators between infinite-dimensional normed spaces is given. Thereafter, a sufficient condition is obtained to assure the non-surjectivity of compact operators. Click to show full abstract

First, a general method to construct compact surjective operators between infinite-dimensional normed spaces is given. Thereafter, a sufficient condition is obtained to assure the non-surjectivity of compact operators.

Keywords: compact operators; surjectivity compact; non surjectivity

Journal Title: Archiv der Mathematik
Year Published: 2019

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