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An Introduction to Operator Algebras
An Introduction to Operator Algebras is a concise text/reference that focuses on the fundamental results in operator algebras. Results discussed include Gelfand's representation of commutative C*-algebras, the GNS construction, the spectral theorem, polar decomposition, von Neumann's double commutant theorem, Kaplansky's density theorem, the (continuous, Borel, and L8) functional calculus for normal operators, and type decomposition for von Neumann algebras. Exercises are provided after each chapter.
Dark Ages
From the Holy Land and the long Crusades, to European kingdoms, 20th Century Paris, Venice, and New Orleans, Dark Ages sweeps the reader into a world of intrigue, danger, and timeless romance. Set in the Mid-Nineteen Nineties, in Southern Louisiana, Dark Ages opens a window into the subculture of Liatris, people upon whom vampire myths and legends were based. Anton Kierkegaard is a wealthy financier, trapped in a world of masters and slaves who are governed by their instincts, and by ancient laws as old as civilization. Into this world, he brings a young woman, Rachel Frederick. Held captive by powerful beings she cannot understand, Rachel becomes a pawn in the battle between coldly calculating creatures of the night, and the men who pursue them. Rachel must learn to survive at the center of a clash of cultures, questioning everything she has ever believed, even her own sanity.
Logics in AI
The European Workshop on Logics in Artificial Intelligence was held at the Centre for Mathematics and Computer Science in Amsterdam, September 10-14, 1990. This volume includes the 29 papers selected and presented at the workshop together with 7 invited papers. The main themes are: - Logic programming and automated theorem proving, - Computational semantics for natural language, - Applications of non-classical logics, - Partial and dynamic logics.
English Prose
None
The Geometry of Cubic Hypersurfaces
A detailed introduction to cubic hypersurfaces, applying diverse techniques to a central class of algebraic varieties.
Topics in Operator Theory
This is the first volume of a collection of original and review articles on recent advances and new directions in a multifaceted and interconnected area of mathematics and its applications. It encompasses many topics in theoretical developments in operator theory and its diverse applications in applied mathematics, physics, engineering, and other disciplines. The purpose is to bring in one volume many important original results of cutting edge research as well as authoritative review of recent achievements, challenges, and future directions in the area of operator theory and its applications.
Hamiltonian Lie Algebroids
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Dissipative Systems Analysis and Control
This second edition of Dissipative Systems Analysis and Control has been substantially reorganized to accommodate new material and enhance its pedagogical features. It examines linear and nonlinear systems with examples of both in each chapter. Also included are some infinite-dimensional and nonsmooth examples. Throughout, emphasis is placed on the use of the dissipative properties of a system for the design of stable feedback control laws.
Advanced Linear Algebra
This book covers an especially broad range of topics, including some topics not generally found in linear algebra books The first part details the basics of linear algebra. Coverage then proceeds to a discussion of modules, emphasizing a comparison with vector spaces. A thorough discussion of inner product spaces, eigenvalues, eigenvectors, and finite dimensional spectral theory follows, culminating in the finite dimensional spectral theorem for normal operators.
