TY - GEN N2 - 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 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 Katos impact to research in analysis and operator theory. DO - 10.1007/978-3-030-12 DO - doi AB - 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 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 Katos impact to research in analysis and operator theory. T1 - Analysis and operator theory :dedicated in memory of Tosio Kato's 100th Birthday / AU - Rassias, Themistocles M., AU - Zagrebnov, Valentin, VL - volume 146 CN - SpringerLink CN - QA300 ID - 890834 KW - Mathematical analysis. KW - Operator theory. SN - 9783030126612 SN - 3030126617 TI - Analysis and operator theory :dedicated in memory of Tosio Kato's 100th Birthday / LK - https://univsouthin.idm.oclc.org/login?url=http://link.springer.com/10.1007/978-3-030-12661-2 UR - https://univsouthin.idm.oclc.org/login?url=http://link.springer.com/10.1007/978-3-030-12661-2 ER -