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article · Extracta Mathematicae

Some operators on finite-dimensional non-Archimedean normed spaces

Abstract

In this paper, we are interested in the study of certain operators in non-Archimedean normed spaces of finite dimension. We introduce the notion of p-delta function, then we characterize the simple operators, the similarities and the expansions. We show if E has an orthogonal basis, then each injective operator on E is the composition of an isometry and an expansion.

Research topics

  • advanced mathematical theories
  • Approximation Theory and Sequence Spaces
  • Fixed Point Theorems Analysis

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DOI: 10.17398/2605-5686.39.2.255

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