Thesis (M.A.)--Boston University / PLEASE NOTE: Boston University Libraries did not receive an Authorization To Manage form for this thesis or dissertation. It is therefore not openly accessible, though it may be available by request. If you are the author or principal advisor of this work and would like to request open access for it, please contact us at open-help@bu.edu. Thank you. / The purpose of this paper is to present a modified version
of Riesz's proof of the spectral theorem for bounded linear
operators. The modifications employed are those suggested by
S. K. Berberian (5, page 1049).
The basic properties of Hilbert space are presented in
Chapter I. Chapter II is a discussion of linear operators which
includes consideration of functionals, self-adjoint operators,
and the spectrum of an operator. The spectral decomposition of
a bounded self-adjoint operator is presented in Chapter III.
The material in the paper is based primarily on the
references in the bibliography. Most of the nontrival proofs
have been carried out in detail. / 2031-01-01
| Identifer | oai:union.ndltd.org:bu.edu/oai:open.bu.edu:2144/34454 |
| Date | January 1966 |
| Creators | Best, George |
| Publisher | Boston University |
| Source Sets | Boston University |
| Language | en_US |
| Detected Language | English |
| Type | Thesis/Dissertation |
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