Applications of Inequalities of Lieb–Thirring Type to Spectral Theory

D. S. Barsegyan

M. V. Lomonosov Moscow State University

Abstract: Inequalities of Lieb–Thirring type are established. Applications of these inequalities to estimates of the spectrum of unbounded operators are given.

Keywords: Lieb–Thirring inequalities, spectral theory of operators, unbounded operator, Laplace operator, Legendre transformation.

UDC: 517.5

Received: 25.03.2010

DOI: 10.4213/mzm8801

 English version: Mathematical Notes, 2010, 88:2, 160–164

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