Application of spectral decomposition to establish inequalities for operators

R. Bilichenko; S. Zhir

doi:10.15421/242302

Application of spectral decomposition to establish inequalities for operators

R. Bilichenko (Oles Honchar Dnipro National University)
S. Zhir (The University of Customs and Finance)

Abstract

We give specific examples of the spectral decomposition of self-adjoint operators in application to establish sharp inequalities for their powers.

Keywords

resolution of the identity; spectral decomposition; inequalities for operators; differentiation operator; Laplace operator

MSC 2020

47A30; 47A11; 47B02

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References

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