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Ordered Cones and Approximation
This book presents a unified approach to Korovkin-type approximation theorems. It includes classical material on the approximation of real-valuedfunctions as well as recent and new results on set-valued functions and stochastic processes, and on weighted approximation. The results are notonly of qualitative nature, but include quantitative bounds on the order of approximation. The book is addressed to researchers in functional analysis and approximation theory as well as to those that want to applythese methods in other fields. It is largely self- contained, but the readershould have a solid background in abstract functional analysis. The unified approach is based on a new notion of locally convex ordered cones that are not embeddable in vector spaces but allow Hahn-Banach type separation and extension theorems. This concept seems to be of independent interest.
Continuous Lattices and Their Applications
This book contains articles on the notion of a continuous lattice, which has its roots in Dana Scott's work on a mathematical theory of computation, presented at a conference on categorical and topological aspects of continuous lattices held in 1982.
Crossed Products of $C^*$-Algebras
The theory of crossed products is extremely rich and intriguing. There are applications not only to operator algebras, but to subjects as varied as noncommutative geometry and mathematical physics. This book provides a detailed introduction to this vast subject suitable for graduate students and others whose research has contact with crossed product $C*$-algebras. in addition to providing the basic definitions and results, the main focus of this book is the fine ideal structure of crossed products as revealed by the study of induced representations via the Green-Mackey-Rieffel machine. in particular, there is an in-depth analysis of the imprimitivity theorems on which Rieffel's theory of ind...
ZB 2005: Formal Specification and Development in Z and B
This book constitutes the refereed proceedings of the 4th International Conference of Z and B users, ZB 2005, held in Guildford, UK in April 2005. The 25 revised full papers presented together with extended abstracts of 2 invited papers were carefully reviewed and selected for inclusion in the book. The papers document the recent advances for the Z formal specification notation and for the B method, ranging from foundational, theoretical, and methodological issues to advanced applications, tools, and case studies.
Foundations of Software Science and Computational Structures
This book contains the proceedings of the 11th International Conference on Foundations of Software Science and Computational Structures. It covers theories and methods to support analysis, synthesis, transformation and verification of software systems.
Recent Advances in the Representation Theory of Rings and $C^\ast $-Algebras by Continuous Sections
From March 20 through April 5, 1973, the Mathematics Department of Tulane University organized a seminar on recent progress made in the general theory of the representation of rings and topological algebras by continuous sections in sheaves and bundles. The seminar was divided into two main sections: one concerned with sheaf representation, the other with bundle representation. The first was concerned with ringed spaces, applications to logic, universal algebra and lattice theory. The second was almost exclusively devoted to C*-algebra and Hilbert space bundles or closely related material. This collection represents the majority of the papers presented by seminar participants, with the addition of three papers which were presented by title.
Combinatory Logic
Combinatory logic is one of the most versatile areas within logic that is tied to parts of philosophical, mathematical, and computational logic. Functioning as a comprehensive source for current developments of combinatory logic, this book is the only one of its kind to cover results of the last four decades. Using a reader-friendly style, the author presents the most up-to-date research studies. She includes an introduction to combinatory logic before progressing to its central theorems and proofs. The text makes intelligent and well-researched connections between combinatory logic and lambda calculi and presents models and applications to illustrate these connections.
Theory and Applications of Models of Computation
TAMC 2006 was the third conference in the series. The previous two meetings were held May 17–19, 2004 in Beijing, and May 17–20, 2005 in Kunming
