Choose an application

• Reference Manager
• EndNote
• RefWorks (Direct export to RefWorks)

This volume contains survey articles based on lecture series given by the authors at the Australian National University between July 2001 and June 2002. All but one were given in the seminar series of the Special Program on Spectral and Scattering Theory which was held at ANU from July to December, 2001.

Operator theory. --- Operator theory

Choose an application

• Reference Manager
• EndNote
• RefWorks (Direct export to RefWorks)

This volume contains survey articles based on lecture series given by the authors at the Australian National University between July 2001 and June 2002. All but one were given in the seminar series of the Special Program on Spectral and Scattering Theory which was held at ANU from July to December, 2001.

Operator theory. --- Operator theory

Choose an application

• Reference Manager
• EndNote
• RefWorks (Direct export to RefWorks)

This book introduces several powerful techniques and fundamental ideas involving block matrices of operators, as well as matrices with elements in a C*-algebra. These techniques allow for the solution of problems that may be difficult to treat. Specifically, 2×2 operator matrices yield significant mathematical inequalities in various fields of operator theory and matrix analysis. The authors employ block matrices to simplify complicated problems. Operator matrices have garnered attention for their applications in quantum information and computing theories. Each chapter concludes with a diverse set of exercises and problems for readers, along with references to relevant literature. Some problems pose open questions, while others challenge readers and provide suggestions for future research. This book is suitable for an advanced undergraduate or graduate course and can be used in the classroom. It also serves as a valuable resource for researchers and students in mathematics and physics who have a basic understanding of linear algebra, functional analysis, and operator theory.

Operator theory. --- Operator Theory.

Choose an application

• Reference Manager
• EndNote
• RefWorks (Direct export to RefWorks)

The theory of operator semigroups was essentially discovered in the early 1930s. Since then, the theory has developed into a rich and exciting area of functional analysis and has been applied to various mathematical topics such as Markov processes, the abstract Cauchy problem, evolution equations, and mathematical physics. This self-contained monograph focuses primarily on the theoretical connection between the theory of operator semigroups and spectral theory. Divided into three parts with a total of twelve distinct chapters, this book gives an in-depth account of the subject with numerous examples, detailed proofs, and a brief look at a few applications. Topics include: * The Hille-Yosida and Lumer-Phillips characterizations of semigroup generators * The Trotter-Kato approximation theorem * Kato's unified treatment of the exponential formula and the Trotter product formula * The Hille-Phillips perturbation theorem, and Stone's representation of unitary semigroups * Generalizations of spectral theory's connection to operator semigroups * A natural generalization of Stone's spectral integral representation to a Banach space setting With a collection of miscellaneous exercises at the end of the book and an introductory chapter examining the basic theory involved, this monograph is suitable for second-year graduate students interested in operator semigroups.

Operator theory

Choose an application

• Reference Manager
• EndNote
• RefWorks (Direct export to RefWorks)

Operator theory.