Written for non-specialists with a limited grasp of mathematics but an acute interest in linear operators, this introductory guide situates linear operator theory and recent results in the context of matrix theory. It begins by describing the basic properties of a Hilbert space and then arranges the fundamental properties of bounded linear operators on a Hilbert space, and ends with a discussion of current research. Furuta teaches applied mathematics at the Science University of Tokyo. Annotation (c) Book News, Inc., Portland, OR (booknews.com)
Most books on linear operators are not easy to follow for students and researchers without an extensive background in mathematics. Self-contained and using only matrix theory, Invitation to Linear Operators: From Matricies to Bounded Linear Operators on a Hilbert Space explains in easy-to-follow steps a variety of interesting recent results on linear operators on a Hilbert space. The author first states the important properties of a Hilbert space, then sets out the fundamental properties of bounded linear operators on a Hilbert space. The final section presents some of the more recent developments in bounded linear operators.
