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A Banach Algebraic Version Of The Fundamental Theorem of Algebra

Functional Analysis 2011-04-22 v1

Abstract

For a monic polynomial p(z) with coefficients in a unital complex Banach algebra, we prove that there exist a complex number z such that p(z)is not invertible

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Cite

@article{arxiv.1104.4196,
  title  = {A Banach Algebraic Version Of The Fundamental Theorem of Algebra},
  author = {Ali Taghavi},
  journal= {arXiv preprint arXiv:1104.4196},
  year   = {2011}
}

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4 pages