Constructive operator theory on Hilbert space /
by Robin Siale Havea.
- 77 leaves : 30 cm
A thesis presented to the University of Waikato in fulfillment of the thesis requirement for the degree of Master of Science.
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.