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Geometric Properties Characteristic of Normed Linear Space

โœ Scribed by Grattan Murphy; Raymond Freese; Edward Andalafte

Publisher
John Wiley and Sons
Year
1989
Tongue
English
Weight
340 KB
Volume
141
Category
Article
ISSN
0025-584X

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๐Ÿ“œ SIMILAR VOLUMES

A Study of Generalized Orthogonality Rel
A Study of Generalized Orthogonality Relations in Normed Linear Spaces
โœ Raymond W. Freese; Charles R. Diminnie; Edward Z. Andalafte ๐Ÿ“‚ Article ๐Ÿ“… 1985 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 443 KB

The concept of orthogonality in normed linear spaces has been studied extensively by BIRKHOFF [3], JAMES IS], [7], [8], and the present authors [l], 151, among others. The most natural notion of orthogonality arises in the case where there is an inner product (-, -) compatible with the norm 11. 11 o

Angles in Normed Linear Spaces and a Cha
Angles in Normed Linear Spaces and a Characterization of Real Inner Product Spaces
โœ Charles R. Diminnie; Edward Z. Andalafte; Raymond W. Freese ๐Ÿ“‚ Article ๐Ÿ“… 1986 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 412 KB ๐Ÿ‘ 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