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Operator Algebras, Operator Theory and Applications
This volume contains the proceedings of the eighteenth International Workshop on Operator Theory and Applications (IWOTA), hosted by the Unit for Business Mathematics and Informatics of North-West University, Potchefstroom, South Africa from July 3 to 6, 2007. The conference (as well as these proceedings) was dedicated to Professors Joseph A. Ball and Marinus M. Kaashoek on the occasion of their 60th and 70th birthdays, respectively. This conference had a particular focus on Von Neumann algebras at the interface of operator theory with functional analysis and on applications of operator theory to differential equations.
Kiss Me Twice
A mad Nazi plot gives Cassidy a chance to save his estranged wife—or lose her forever As the dust settles on World War II, detective Lew Cassidy’s wife has come back from the dead. A German figure skater with a film-star face, she had returned to her home country when the war began to care for her ailing father; Cassidy later heard she died during an Allied bombing raid. But in the weeks after the German surrender, the US Army finds her in Bavaria, stricken with amnesia and married to Manfred Muller, an SS swashbuckler at the top of the army’s most-wanted list. In the war’s last days, Muller escaped Germany with a historic golden minotaur sculpture, planning to sell the statue and use the proceeds to establish a Nazi underground in the United States. When Muller disappears in the wilds of Maine, the army gives Cassidy a chance to serve his country. To catch the Nazi, he’ll use his wife as bait, and hope he doesn’t lose her a second time.
Direct and Inverse Finite-Dimensional Spectral Problems on Graphs
Considering that the motion of strings with finitely many masses on them is described by difference equations, this book presents the spectral theory of such problems on finite graphs of strings. The direct problem of finding the eigenvalues as well as the inverse problem of finding strings with a prescribed spectrum are considered. This monograph gives a comprehensive and self-contained account on the subject, thereby also generalizing known results. The interplay between the representation of rational functions and their zeros and poles is at the center of the methods used. The book also unravels connections between finite dimensional and infinite dimensional spectral problems on graphs, and between self-adjoint and non-self-adjoint finite-dimensional problems. This book is addressed to researchers in spectral theory of differential and difference equations as well as physicists and engineers who may apply the presented results and methods to their research.
Spectral Theory of Operator Pencils, Hermite-Biehler Functions, and their Applications
The theoretical part of this monograph examines the distribution of the spectrum of operator polynomials, focusing on quadratic operator polynomials with discrete spectra. The second part is devoted to applications. Standard spectral problems in Hilbert spaces are of the form A-λI for an operator A, and self-adjoint operators are of particular interest and importance, both theoretically and in terms of applications. A characteristic feature of self-adjoint operators is that their spectra are real, and many spectral problems in theoretical physics and engineering can be described by using them. However, a large class of problems, in particular vibration problems with boundary conditions depe...
Ordinary Differential Operators
In 1910 Herman Weyl published one of the most widely quoted papers of the 20th century in Analysis, which initiated the study of singular Sturm-Liouville problems. The work on the foundations of Quantum Mechanics in the 1920s and 1930s, including the proof of the spectral theorem for unbounded self-adjoint operators in Hilbert space by von Neumann and Stone, provided some of the motivation for the study of differential operators in Hilbert space with particular emphasis on self-adjoint operators and their spectrum. Since then the topic developed in several directions and many results and applications have been obtained. In this monograph the authors summarize some of these directions discuss...
Functional Analysis: Surveys and Recent Results III
This volume contains 22 articles on topics of current interest in functional analysis, operator theory and related areas. Some of the papers have connections with complex function theory in one and several variables, probability theory and mathematical physics.Surveys of some areas of recent progress in functional analysis are given and related new results are presented. The topics covered in this volume supplement the discussion of modern functional analysis in the previous Proceedings volumes. Together with the previous volumes, the reader obtains a good impression of many aspects of present-day functional analysis and its applications. Parts of this volume can be used profitably in advanced seminars and courses in functional analysis.
Eigenvalues and Completeness for Regular and Simply Irregular Two-Point Differential Operators
In this monograph the author develops the spectral theory for an $n$th order two-point differential operator $L$ in the Hilbert space $L2[0,1]$, where $L$ is determined by an $n$th order formal differential operator $\ell$ having variable coefficients and by $n$ linearly independent boundary values $B 1, \ldots, B n$. Using the Birkhoff approximate solutions of the differential equation $(\rhon I - \ell)u = 0$, the differential operator $L$ is classified as belonging to one of threepossible classes: regular, simply irregular, or degenerate irregular. For the regular and simply irregular classes, the author develops asymptotic expansions of solutions of the differential equation $(\rhon I - \ell)u = 0$, constructs the characteristic determinant and Green's function,characterizes the eigenvalues and the corresponding algebraic multiplicities and ascents, and shows that the generalized eigenfunctions of $L$ are complete in $L2[0,1]$. He also gives examples of degenerate irregular differential operators illustrating some of the unusual features of this class.
Death March Through Russia
This World War II memoir by a Nazi soldier details his unimaginable experience as a German prisoner-of-war in the Soviet Union. Lothar Hermann grew up in Bavaria, going through the RAD (Nazi Labor Service) before being conscripted into a Wehrmacht Mountain Division (the Gebirgsdivision) in 1940. He participated in Germany’s advance through southern Ukraine in 1941 and, in 1944, was arrested in Romania while retreating to Germany. The Romanians passed him onto the Soviets, who placed him in a forced labor camp, where he watched two-thirds of prisoners around him die. In 1949, Herrmann was finally released to Germany and returned to Bavaria. Three million German troops were taken prisoner by the Red Army and around two-thirds of them survived to return to Germany in 1949 like Hermann, but their stories are little known. Klaus Willmann draws on interviews he conducted with Herrmann, to recount these astonishing recollections in the first-person. Depicting the challenges of growing up in Nazi Bavaria to becoming a Soviet prisoner-of-war, this is a gripping and enlightening account from a necessary but rarely explored perspective.
Complex Analysis, Functional Analysis and Approximation Theory
This proceedings volume contains papers of research of expository nature, and is addressed to research workers and advanced graduate students in mathematics. Some of the papers are the written and expanded texts of lectures delivered at the conference, whereas others have been included by invitation.
The Extended Field of Operator Theory
This volume contains contributions originating from the International Workshop on Operator Theory and Its Applications (IWOTA) held in Newcastle upon Tyne in July 2004. The articles expertly cover a broad range of material at the cutting edge of functional analysis and its applications. The works are written by world authorities in their specialities.
