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This book familiarizes both popular and fundamental notions and techniques from the theory of non-normed topological algebras with involution, demonstrating with examples and basic results the necessity of this perspective. The main body of the book is focussed on the Hilbert-space (bounded) representation theory of topological *-algebras and their topological tensor products, since in our physical world, apart from the majority of the existing unbounded operators, we often meet operators that are forced to be bounded, like in the case of symmetric *-algebras. So, one gets an account of how th

Topological algebras. --- Functional analysis. --- Functional calculus --- Calculus of variations --- Functional equations --- Integral equations --- Algebras, Topological --- Functional analysis --- Linear topological spaces --- Rings (Algebra)

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Operator theory --- Scattering (Mathematics) --- Linear systems. --- Operator algebras. --- Hilbert space. --- Dispersion (mathématiques) --- Systèmes linéaires. --- Algèbres d'opérateurs --- Hilbert, Espaces de --- Hilbert space --- Linear systems --- Operator algebras --- Scattering theory (Mathematics) --- Boundary value problems --- Differential equations, Partial --- Scattering operator --- Algebras, Operator --- Topological algebras --- Systems, Linear --- Differential equations, Linear --- System theory --- Banach spaces --- Hyperspace --- Inner product spaces --- Algèbres d'opérateurs. --- Hilbert, Espaces de.