Analysis and Operator Theory

The book "Analysis and Operator Theory" is a tribute to the 100th birthday of Tosio Kato and offers a comprehensive collection of research and survey papers that address a variety of methods, theories, and problems in mathematics and mathematical physics. The included contributions cover both linear and nonlinear analyses and illuminate central themes such as operator theory, partial differential equations, and functional analysis. Special focuses are on nonlinear evolution equations, the Korteweg-de Vries equation, the Navier-Stokes equation, and the perturbation theory of linear operators. The book also analyzes significant concepts such as the Kato inequality, the Kato-type matrix limit theorem, and the Trotter-Kato product formulas. It is aimed at students, research mathematicians, and applied scientists, providing valuable insights into the influence of Tosio Kato on research in analysis and operator theory.