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Interpolation and domains of operators

  • Alessandra Lunardi
Part of the CRM Series book series (PSNS, volume 16)

Abstract

Let X be a real or complex Banach space with norm ∥ • ∥. In this section we consider a linear operator A : D(A) ⊂ X ↦ X such that
$$\rho (A) \supset (0,\infty ),\quad \exists M\;\;:\;\;{\left\| {\lambda R(\lambda ,A)} \right\|_{\mathcal{L}(X)}} \leqslant M,{\kern 1pt} \quad \lambda > 0.$$
(3.1)

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Copyright information

© Scuola Normale Superiore Pisa 2018

Authors and Affiliations

  • Alessandra Lunardi
    • 1
  1. 1.Dipartimento di Scienze Matematiche, Fisiche e InformaticheUniversità di ParmaParmaItalia

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