Dedicated to Tosio Katös 100th birthday this book contains research and survey papers on a
broad spectrum of methods theories and problems in mathematics and mathematical physics.
Survey papers and in-depth technical papers emphasize linear and nonlinear analysis operator
theory partial differential equations and functional analysis including nonlinear evolution
equations the Korteweg¿de Vries equation the Navier¿Stokes equation and perturbation theory
of linear operators. The Kato inequality the Kato type matrix limit theorem the Howland¿Kato
commutator problem the Kato-class of potentials and the Trotter¿Kato product formulae are
discussed and analyzed. Graduate students research mathematicians and applied scientists will
find that this book provides comprehensive insight into the significance of Tosio Katös impact
to research in analysis and operator theory.
