'Univesiti Fakafonua 'a Tonga -
Tonga National University
Ko e Mo’oni, Ko e Totonu mo e Tau’ataina - Truth, Justice, Freedom



Constructive operator theory on Hilbert space / by Robin Siale Havea.

By: Contributor(s): Material type: TextTextPublisher: [Hamilton, New Zealand] : University of Waikato, 1998Description: 77 leaves : 30 cmContent type:
  • text
Media type:
  • unmediated
Carrier type:
  • volume
Subject(s): Genre/Form: DDC classification:
  • 511.3 19
Dissertation note: M.S. University of Waikato 1998 Summary: "The existence of the adjoint of a bounded linear operator on a Hilbert space is taken for granted in classical mathematics. However, its constructive existence is another matter. A "Brouwerian example" shows that there is no constructive proof of the existence of the adjoint. Working within the framework of Bishop's constructive mathematics, we give conditions that are equivalent to the existence of an adjoint"--Abstract.
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Item type Current library Call number Status Barcode
Texts - cam Texts - cam TNU, Faculty of Education, Arts and Humanities Theses Collection 511.3 HAV (Browse shelf(Opens below)) Not for loan FEAH24090018

A thesis presented to the University of Waikato in fulfillment of the thesis requirement for the degree of Master of Science.

M.S. University of Waikato 1998

Includes bibliographical references (leaves 76-77).

"The existence of the adjoint of a bounded linear operator on a Hilbert space is taken for granted in classical mathematics. However, its constructive existence is another matter. A "Brouwerian example" shows that there is no constructive proof of the existence of the adjoint. Working within the framework of Bishop's constructive mathematics, we give conditions that are equivalent to the existence of an adjoint"--Abstract.

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