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The Generalized Wielandt Inequality in Inner Product Spaces

Functional Analysis 2012-09-11 v1

Abstract

A new inequality between angles in inner product spaces is formulated and proved. It leads directly to a concise statement and proof of the generalized Wielandt inequality, including a simple description of all cases of equality. As a consequence, several recent results in matrix analysis and inner product spaces are improved.

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Cite

@article{arxiv.1201.6294,
  title  = {The Generalized Wielandt Inequality in Inner Product Spaces},
  author = {Minghua Lin and Gord Sinnamon},
  journal= {arXiv preprint arXiv:1201.6294},
  year   = {2012}
}

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13 pages