Characterization of real inner product spaces by Hermite–Hadamard type orthogonalities

2019 ◽  
Vol 479 (1) ◽  
pp. 1364-1382
Author(s):  
Mahdi Dehghani ◽  
Ali Zamani
Keyword(s):  
Inner Product ◽  
Product Spaces ◽  
Inner Product Spaces ◽  
Real Inner Product Spaces

Angles in Normed Linear Spaces and a Characterization of Real Inner Product Spaces

1986 ◽  
Vol 129 (1) ◽  
pp. 197-204 ◽  
Author(s):  
Charles R. Diminnie ◽  
Edward Z. Andalafte ◽  
Raymond W. Freese
Keyword(s):  
Inner Product ◽  
Product Spaces ◽  
Linear Spaces ◽  
Inner Product Spaces ◽  
Normed Linear Spaces ◽  
Real Inner Product Spaces

A characterization of inner product spaces based on a property of height's transformation

1993 ◽  
Vol 61 (6) ◽  
pp. 560-566 ◽  
Author(s):  
C. Alsina ◽  
P. Guijarro ◽  
M. S. Tom�s
Keyword(s):  
Inner Product ◽  
Product Spaces ◽  
Inner Product Spaces

scholarly journals Hyperstability of the Fréchet Equation and a Characterization of Inner Product Spaces

2013 ◽  
Vol 2013 ◽  
pp. 1-6 ◽  
Author(s):  
Anna Bahyrycz ◽  
Janusz Brzdęk ◽  
Magdalena Piszczek ◽  
Justyna Sikorska
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorem ◽  
Point Theorem ◽  
Main Tool ◽  
Inner Product ◽  
Product Spaces ◽  
Inner Product Spaces ◽  
Fréchet Equation ◽  
New Inequalities

We prove some stability and hyperstability results for the well-known Fréchet equation stemming from one of the characterizations of the inner product spaces. As the main tool, we use a fixed point theorem for the function spaces. We finish the paper with some new inequalities characterizing the inner product spaces.

On Hua's inequality in real inner product spaces

2002 ◽  
Vol 33 (3) ◽  
pp. 265-268 ◽  
Author(s):  
J. Pecaric
Keyword(s):  
Inner Product ◽  
Product Spaces ◽  
Inner Product Spaces ◽  
Real Inner Product Spaces

Generalization of results in [1] concerning the Hua's inequality in real inner product spaces are given.

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