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On the stability of the localized single-valued extension property under commuting perturbations

Proceedings of the American Mathematical Society, ISSN: 0002-9939, Vol: 141, Issue: 6, Page: 2039-2050
2013
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Metric Options:   Counts1 Year3 Year

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  • Citations
    25
    • Citation Indexes
      25
  • Captures
    1

Article Description

This article concerns the permanence of the single-valued extension property at a point under suitable perturbations. While this property is, in general, not preserved under sums and products of commuting operators, we obtain positive results in the case of commuting perturbations that are quasi-nilpotent, algebraic, or Riesz operators. © 2013 American Mathematical Society.

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