Inequalities play a fundamental role in Functional Analysis and it
is widely recognized that finding them, especially sharp estimates,
is an art. E. H. Lieb has discovered a host of inequalities that
are enormously useful in mathematics as well as in physics. His
results are collected in this book which should become a standard
source for further research. Together with the mathematical proofs
the author also presents numerous applications to the calculus of
variations and to many problems of quantum physics, in particular
to atomic physics.
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