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A Metric Characterization of Normed Linear Spaces

✍ Scribed by Siegfried Gähler; Grattan Murphy

Publisher
John Wiley and Sons
Year
1981
Tongue
English
Weight
536 KB
Volume
102
Category
Article
ISSN
0025-584X

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✦ Synopsis

A Metric Characterization of Normed Linear Spaces

By SIEGFRIED GAHLER of Berlin and GRATTAN MURPHY*) of Orono (Eingegangen am 18.12. 1980) *) The research in this paper was carried out while the second author was a visitor at the Akademie der Wissenschaften der DDR under an exchange agreement between the National Academies of Science of the United States and the German Democratic Republic. Akademie der Wissenschafkn der DDR Institut fur Mathemtik DDR -1080 Berlin .Mohrenstmpe 39 University of Maine Depaqtment of diatliematka Orono, diaine 04469 U.B.A.

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✍ Charles R. Diminnie; Edward Z. Andalafte; Raymond W. Freese 📂 Article 📅 1986 🏛 John Wiley and Sons 🌐 English ⚖ 412 KB 👁 1 views

A number of writers have defined a concept of angle in a normed linear space or metric space by means of the law of cosines, and have studied the properties of these angles obtaining, in some cases, characterizations of real inner product spaces. (For a summary of earlier results see MARTIN and VAL