This comprehensive collection includes various sections such as the editors' preface, curriculum vitae, and a list of Ph.D. students of Helmut Wielandt. It features his inaugural lecture and its English translation, along with a preface to the second volume and contributions to Wielandt's mathematical works. The research papers cover a range of topics, including iteration methods for non-self-adjoint linear eigenvalue problems, eigenvalue theory, and the unboundedness of quantum mechanics operators. Other significant papers discuss the inclusion theorems for eigenvalues of normal matrices, the characterization of stochastic matrices, and error bounds for eigenvalues in different contexts. Collaborations with notable mathematicians, like Alan J. Hoffman and Olga Taussky, are highlighted, demonstrating the breadth of Wielandt's influence in the field. The collection also includes lecture notes on analytic matrix theory, mimeographed research reports, and contributions to complex eigenvalue problems. Biographical notes, acknowledgments, and a bibliography provide additional context to Wielandt's work and legacy. This anthology serves as a vital resource for understanding the advancements in matrix theory and eigenvalue problems, reflecting Wielandt's significant contributions to mathematics.
Helmut Wielandt Pořadí knih


- 1996
- 1994
This comprehensive work features a collection of research and lecture notes by Helmut Wielandt, focusing on various aspects of group theory. It begins with a preface and a curriculum vitae, followed by a tribute to his Ph.D. students. The first section delves into permutation groups, showcasing Wielandt's contributions through numerous research papers on topics such as transitive groups, primitive permutations, and automorphisms. Subsequent sections explore subnormality, presenting research on invariant subgroups, Sylow groups, and criteria for subnormality in finite groups. The third section addresses factorised groups, discussing the structure of nilpotent groups and their products. The fourth section examines the ?-structure of finite groups, including Sylow's theorems and the normal structure of composite groups. The work also touches on near-rings and includes miscellaneous research papers that cover a range of topics, from p-groups to the existence of normal subgroups in finite groups. Each section is meticulously organized, offering insights into Wielandt's influential research and the development of group theory. The volume concludes with acknowledgements and a bibliography, providing a valuable resource for scholars in the field.