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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Applications I: Miscellanea, and new GB*-algebras are constructed. Moreover, various types of the celebrated Vidav-Palmer theorem are exhibited in the context of locally convex *-algebras (including GB*-algebras); all latter results are due to A.W. Wood.

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A Spectral Theory for Locally Convex Algebras,ence, 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 Gelfand-type theory is developed. All the results of Chap. . are due to G.R. Allan.

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0075-8434 graduate students interested in functional analysis, (unbounded) operator theory and its relationship to mathematical physics. It also addresses researchers interested in extensions of the celebrated theory of C*-algebras..978-3-030-96432-0978-3-030-96433-7Series ISSN 0075-8434 Series E-ISSN 1617-9692

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978-3-030-96432-0The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerl