• Anglický jazyk

Spectrum of a C*-algebra

Autor: Lambert M. Surhone

High Quality Content by WIKIPEDIA articles! The spectrum of a C*-algebra or dual of a C*-algebra A, denoted Â, is the set of unitary equivalence classes of irreducible *-representations of A. A *-representation p of A on a Hilbert space H is irreducible... Viac o knihe

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O knihe

High Quality Content by WIKIPEDIA articles! The spectrum of a C*-algebra or dual of a C*-algebra A, denoted Â, is the set of unitary equivalence classes of irreducible *-representations of A. A *-representation p of A on a Hilbert space H is irreducible if, and only if, there is no closed subspace K different from H and {0} which is invariant under all operators p(x) with x A. We implicitly assume that irreducible representation means non-null irreducible representation, thus excluding trivial (i.e. identically 0) representations on one-dimensional spaces. As explained below, the spectrum  is also naturally a topological space; this generalizes the notion of the spectrum of a ring.

  • Vydavateľstvo: OmniScriptum
  • Rok vydania: 2026
  • Formát: Paperback
  • Rozmer: 220 x 150 mm
  • Jazyk: Anglický jazyk
  • ISBN: 9786130347918

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