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Reverses of the Triangle Inequality in Banach Spaces

Classical Analysis and ODEs 2009-09-29 v1 Functional Analysis

Abstract

Recent reverses for the discrete generalised triangle inequality and its continuous version for vector-valued integrals in Banach spaces are surveyed. New results are also obtained. Particular instances of interest in Hilbert spaces and for complex numbers and functions are pointed out as well.

Keywords

Cite

@article{arxiv.math/0505524,
  title  = {Reverses of the Triangle Inequality in Banach Spaces},
  author = {Sever Silvestru Dragomir},
  journal= {arXiv preprint arXiv:math/0505524},
  year   = {2009}
}

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48 pages