The University of Canterbury Department of Mathematics and Statistics

نویسندگان

  • Luminita Simona Dediu
  • Peter Schuster
  • Mihaela Baroni
  • Julian Visch
چکیده

The present work is a first step towards a systematic constructive development of the theory of operator algebras over a Hilbert space H. Among the topics investigated in the thesis are locally convex topologies, the extension and characterisation of ultraweakly continuous linear functionals on B(H), and conditions that ensure the (constructive) existence of the adjoint of a bounded linear operator on H. We also study the relationship between a linear subset of B(H) and the dual of its predual, and the comparison of projections in a von Neumann algebra. The two appendices to the thesis deal, respectively, with weak continuity properties and the locatedness of the range of an operator.

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تاریخ انتشار 2010