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Author Kadison, Richard V. author Fundamentals of the Theory of Operator Algebras [electronic resource] : Special Topics Volume III Elementary Theoryโ{128}{148}An Exercise Approach / by Richard V. Kadison, John R. Ringrose Boston, MA : Birkhรคuser Boston, 1991 http://dx.doi.org/10.1007/978-1-4612-3212-4 XIV, 274 p. online resource

SUMMARY

These volumes are companions to the treatise; "Fundamentals of the Theory of Operator Algebras," which appeared as Volume 100 - I and II in the series, Pure and Applied Mathematics, published by Academic Press in 1983 and 1986, respectively. As stated in the preface to those volumes, "Their primary goal is to teach the subยญ ject and lead the reader to the point where the vast recent research literature, both in the subject proper and in its many applications, becomes accessible." No attempt was made to be encyclopCEdic; the choice of material was made from among the fundamentals of what may be called the "classical" theory of operator algebras. By way of supplementing the topics selected for presentation in "Fundamentals," a substantial list of exercises comprises the last section of each chapter. An equally important purpose of those exerยญ cises is to develop "hand-on" skills in use of the techniques appearing in the text. As a consequence, each exercise was carefully designed to depend only on the material that precedes it, and separated into segments each of which is realistically capable of solution by an atยญ tentive, diligent, well-motivated reader

CONTENT

1. Linear Spaces โ{128}{148} Exercises and Solutions -- 2. Basics of Hilbert Space and Linear Operators โ{128}{148} Exercises and Solutions -- 3. Banach Algebras โ{128}{148} Exercises and Solutions -- 4. Elementary C*-Algebra Theory โ{128}{148} Exercises and Solutions -- 5. Elementary von Neumann Algebra Theory โ{128}{148} Exercises and Solutions

Mathematics Algebra Operator theory Mathematics Operator Theory General Algebraic Systems Algebra

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