Stubbe, Joachim2011-12-162011-12-162011-12-16201010.4171/JEMS/233https://infoscience.epfl.ch/handle/20.500.14299/74805WOS:000281956000002We show that phase space bounds on the eigenvalues of Schrodinger operators can be derived from universal bounds recently obtained by E. M. Harrell and the author via a monotonicity property with respect to coupling constants. In particular, we provide a new proof of sharp Lieb-Thirring inequalities.Universal bounds for eigenvaluesspectral gapphase space boundsLieb-Thirring inequalitiesSchrodinger operatorsRiesz MeansConjectureOperatorsBoundsProoftext::journal::journal article::research article