Titlebook: Generalized B*-Algebras and Applications; Maria Fragoulopoulou,Atsushi Inoue,Ioannis Zarakas Book 2022 The Editor(s) (if applicable) and T

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Generalized B*-Algebras and Applications978-3-030-96433-7Series ISSN 0075-8434 Series E-ISSN 1617-9692

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https://doi.org/10.1007/978-3-030-96433-7Generalized B*-Algebras; Unbounded *-Representations; Extended C*-Algebras; Extended W*-Algebras; Functi

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Computer-Aided Production Managementras, as algebras of unbounded operators. More precisely, the notion of a ‘bounded element’ in a locally convex algebra is introduced and, as a consequence, the concept of spectrum of an element is given. In addition, the carrier space of a commutative complete locally convex algebra is defined and a

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Computer-Aided Project Management These algebras generalize the celebrated C*-algebras and they are often met in Analysis. A typical example of a GB*-algebra is the Arens algebra .[0, 1]..In Chap. 3, we are mainly concerned with commutative GB*-algebras. Among others, an “algebraic” commutative Gelfand-Naimark type theorem for GB*-

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The Rotation Generation Process,ious results, but also similar line of thoughts can be applied in further generalizations of C*-algebras, like e.g., the so-called locally convex quasi C*-normed algebras. It is also used for exhibiting a functional calculus, in the case of a not necessarily commutative GB*-algebra (Dixon)..Furtherm

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Computer-Animation in der Kartographiels play an important role. In ensuring that the involved *-representation is faithful, one requires that there are enough positive linear functionals in the sense that they separate the points of the C*-algebra. That this is so for C*-algebras is well known, and relies on the fact that the positive

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