Analysis and Operator Theory

Dedicated to Tosio Katos 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 Kortewegde Vries equation, the NavierStokes equation, and perturbation theory of linear operators. The Kato inequality, the Kato type matrix limit theorem, the HowlandKato commutator problem, the Kato-class of potentials, and the TrotterKato 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 Katos impact to research in analysis and operator theory.