Heinz–Kato inequality in Banach spaces

  • Nikolaos RoidosEmail author
Original Research Paper


It is observed that in Banach spaces, sectorial operators having bounded imaginary powers satisfy a Heinz–Kato inequality.


Sectorial operators Fractional powers Interpolation inequalities Heinz–Kato inequality 

Mathematics Subject Classification

47A30 47A63 


Compliance with ethical standards


This study was funded by Deutsche Forschungsgemeinschaft, grant SCHR 319/9-1.

Ethical approval

This article does not contain any studies with human participants or animals performed by any of the authors.


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Copyright information

© Forum D'Analystes, Chennai 2019

Authors and Affiliations

  1. 1.Department of MathematicsUniversity of PatrasRio PatrasGreece

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