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2 results

  • 3 - Quantization of symplectic manifolds

  • from Part II - Quantum spaces and geometry
  • Harold C. Steinacker, Universität Wien, Austria
  • Book:
    Quantum Geometry, Matrix Theory, and Gravity
    Published online:
    04 April 2024
    Print publication:
    11 April 2024, pp 31-75

  • Summary

    The general concept of quantization is discussed, which provides the starting point for the further developments in this book. Starting with the concepts familiar from quantum mechanics, a number of quantum spaces defined via explicit operators on Hilbert space are discussed in detail, including compact and non-compact examples.

  • TRACE INEQUALITIES AND A QUESTION OF BOURIN

  • Part of
  • SAJA HAYAJNEH, FUAD KITTANEH
  • Journal:
    Bulletin of the Australian Mathematical Society / Volume 88 / Issue 3 / December 2013
    Published online by Cambridge University Press:
    25 January 2013, pp. 384-389
    Print publication:
    December 2013
    • Article
      • You have access
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  • We give an affirmative answer to one of the questions posed by Bourin regarding a special type of inequality referred to as subadditivity inequalities in the case of the Hilbert–Schmidt and the trace norms. We formulate the solution for arbitrary commuting positive operators, and we conjecture that it is true for all unitarily invariant norms and all commuting positive operators. New related trace inequalities are also presented.