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A New Orthogonality Relation for Normed Linear Spaces

✍ Scribed by Charles R. Diminnie


Publisher
John Wiley and Sons
Year
1983
Tongue
English
Weight
330 KB
Volume
114
Category
Article
ISSN
0025-584X

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πŸ“œ SIMILAR VOLUMES


A Study of Generalized Orthogonality Rel
✍ Raymond W. Freese; Charles R. Diminnie; Edward Z. Andalafte πŸ“‚ Article πŸ“… 1985 πŸ› John Wiley and Sons 🌐 English βš– 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

Isosceles Orthogonal Triples in Linear 2
✍ Y. J. Cho; C. R. Diminnie; R. W. Freese; E. Z. Andalafte πŸ“‚ Article πŸ“… 1992 πŸ› John Wiley and Sons 🌐 English βš– 457 KB πŸ‘ 1 views

## Abstract A triple (__x, y, z__) in a linear 2‐normed space (__X__, β€–.,.β€–) is called an __isosceles orthogonal triple__, denoted |(__x, y, z__), if |(.,.,.) is said to be __homogeneous__ if |(__x, y, z__) implies |(__ax, y, z__) for all real __a__ and it is __additive__ if |(__x~1~__, __y, z__)

A Bernstein–Markov Theorem for Normed Sp
✍ Lawrence A. Harris πŸ“‚ Article πŸ“… 1997 πŸ› Elsevier Science 🌐 English βš– 172 KB

## Ε½ . Ε½ . 5 5 function satisfying x q y F x q y for all x, y g X. We show that there exist optimal constants c such that if P: X Βͺ Y is any polynomial satisfying and 0 F k F m. We obtain estimates for these constants and present applications to polynomials and multilinear mappings in normed spac

Angles in Normed Linear Spaces and a Cha
✍ Charles R. Diminnie; Edward Z. Andalafte; Raymond W. Freese πŸ“‚ Article πŸ“… 1986 πŸ› John Wiley and Sons 🌐 English βš– 412 KB πŸ‘ 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