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n-th roots of a non-negative operator. Conditions for uniqueness

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Publication:1825423
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DOI10.1007/BF01170936zbMath0684.47014MaRDI QIDQ1825423

Celso Martínez, Miguel Sanz

Publication date: 1989

Published in: Manuscripta Mathematica (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/155415

zbMATH Keywords

uniqueness of the n-th roots of a nonnegative closed operator


Mathematics Subject Classification ID

Hermitian and normal operators (spectral measures, functional calculus, etc.) (47B15) Functional calculus for linear operators (47A60)


Related Items

Unnamed Item, \(C\)-semigroups and strongly continuous semigroups



Cites Work

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  • Fractional powers of closed operators and the semigroups generated by them
  • Fractional powers of dissipative operators
  • Fractional powers of non-negative operators in Fréchet spaces
  • Fractional powers of operators. II: Interpolation spaces
  • Fractional powers of operators. III: Negative powers. IV: Potential operators
  • Fractional powers of infinitesimal generators and the analyticity of the semi-groups generated by them
  • Note on fractional powers of linear operators
  • On some properties of fractional powers of linear operators
  • Fractional powers of closed operators
  • Fractional powers of operators
  • Fractional powers of operators
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