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https://doi.org/10.1142/9789814313735_0005Cited by:0 (Source: Crossref)
Abstract:

The following sections are included:

  • GNS construction

    • Involutive algebras

    • Hilbert spaces

    • Operators in Hilbert spaces

    • Representations of involutive algebras

    • GNS representation

    • Unbounded operators

  • Automorphisms of quantum systems

  • Banach and Hilbert manifolds

    • Real Banach spaces

    • Banach manifolds

    • Banach vector bundles

    • Hilbert manifolds

    • Projective Hilbert space

  • Hilbert and C*-algebra bundles

  • Connections on Hilbert and C*-algebra bundles

  • Instantwise quantization