Hilbert C*-Modules: A Toolkit for Operator Algebraists

ISBN-13: 9780521479103 / Angielski / Miękka / 1995 / 144 str.

E. Christopher Lance; J. W. S. Cassels; N. J. Hitchin

Opis

The theory of these modules together with their bounded and unbounded operators is not only rich and attractive in its own right but forms an infrastructure for some of the most important research topics in operator algebra. This book provides a clear and unified exposition of the main techniques and results in this area, including a substantial amount of new and unpublished material. Graduate students and researchers working in operator algebras will welcome this book as an excellent resource.

Recenzje

"This is a delightful volume and a worthy addition to the literature on C*-algebras." Robert S. Doran, Mathematical Reviews

Spis treści

1. Modules; 2. Multipliers and morphisms; 3. Projections and unitaries; 4. Tensor products; 5. The KSGNS construction; 6. Stabilisation or absorption; 7. Full modules, Morita equivalence; 8. Slice maps and bialgebras; 9. Unbounded operators; 10. The bounded transform, unbounded multipliers.