Characterizations of inner product spaces.

Author

• John Lee Roy Williams

Abstract

"The parallelogram law and several extensions and generalizations which characterize inner product spaces among normed linear spaces are given. The characterization problem is motivated by its usefulness in foundations of general quantum theories and examples are given.

The technique of proving that a normed linear space is an inner product space by showing that its unit sphere is an ellipsoid is emphasized. Using this technique, a new integral characterization is obtained"-- Abstract, p. ii

Advisor(s)

Stanojevic, Caslav V., 1928-2008

Committee Member(s)

Penico, Anthony J., 1923-2011
Illegible Signature

Department(s)

Mathematics and Statistics

Degree Name

M.S. in Mathematics

Publisher

University of Missouri--Rolla

Publication Date

1977

Pagination

iii, 53 pages

Note about bibliography

Includes bibliographical references (pages 47-48)

Rights

© 1977 John Lee Roy Williams, All rights reserved.

Document Type

Thesis - Open Access

File Type

text

Language

English

Thesis Number

T 4339

Print OCLC #

6000766

Recommended Citation

Williams, John Lee Roy, "Characterizations of inner product spaces." (1977). Masters Theses. 3317.
https://scholarsmine.mst.edu/masters_theses/3317