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0. Introduction -- 1. Basic concepts and properties of [symbol]-integration -- 2. Convergence -- 3. Convergence and locally convex spaces -- 4. An auxiliary locally convex space -- 5. [symbol]-integration -- 6. M-integration -- 7. Noncompleteness -- 8. S-integration -- 9. R-inte…
The main topics of this book are convergence and topologization. Integration on a compact interval on the real line is treated with Riemannian sums for various integration bases. General results are specified to a spectrum of integrations, including Lebesgue integration, the Den…
This second volume presents research in the field of the mathematical model operation of economic systems, again using as a basis the theory and methods of vector optimization. This volume includes three chapters. The first chapter deals with issues related to the theory of the …
Linear Algebra for Quantum Theory offers a survey of those aspects of set theory and the theory of linear spaces and their mappings that are indispensable to the study of quantum theory. Unlike more conventional treatments, this text postpones its discussion of the binary produc…
This new volume shows how it is possible to further develop and essentially extend the theory of operators in infinite-dimensional vector spaces, which plays an important role in mathematics, physics, information theory, and control theory. The book describes new mathematical st…