Marco Thill

  1. Introduction to Normed *-Algebras and their Representations, 7th ed.

    Authors: Marco Thill
    Subjects: Operator Algebras
    Abstract

    This book treats: - spectral theory of Banach *-algebras, - basic
    representation theory of normed *-algebras, - spectral theory of
    representations of commutative *-algebras. A novel feature of the book is the
    construction of the enveloping C*-algebra of a general normed *-algebra.

  2. Representations of Hermitian Commutative *-Algebras by Unbounded Operators.

    Authors: Marco Thill
    Subjects: Operator Algebras
    Abstract

    We give a spectral theorem for unital representions of Hermitian commutative
    unital *-algebras by possibly unbounded operators in a pre-Hilbert space. A
    more general result is known for the case in which the *-algebra is countably
    generated.

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