Application of spectral decomposition to establish inequalities for operators

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


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


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

MSC 2020

47A30; 47A11; 47B02

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ISSN (Online): 2664-5009
ISSN (Print): 2664-4991