Title : ( Approximate Roberts orthogonality sets and (δ,ε)-(a, b)-isosceles-orthogonality preserving mappings )
Authors: Ali Zamani , Mohammad Sal Moslehian ,
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Abstract
We introduce the concept of the approximate Roberts orthogonality set and investigate the geometric properties of such sets. In addition, we introduce a notion of the approximate $a$-isosceles-orthogonality and consider class of mappings, which approximately preserve the $a$-isosceles-orthogonality.
Keywords
, Approximate Roberts orthogonality; Approximate parallelogram law; $a$, isosceles, orthogonality; Orthogonality preserving mappings
@article{paperid:1050159,
author = {Zamani, Ali and Sal Moslehian, Mohammad},
title = {Approximate Roberts orthogonality sets and (δ,ε)-(a, b)-isosceles-orthogonality preserving mappings},
journal = {Aequationes Mathematicae},
year = {2016},
volume = {90},
number = {3},
month = {March},
issn = {0001-9054},
pages = {647--659},
numpages = {12},
keywords = {Approximate Roberts orthogonality; Approximate parallelogram law; $a$-isosceles-orthogonality; Orthogonality preserving mappings},
}
%0 Journal Article
%T Approximate Roberts orthogonality sets and (δ,ε)-(a, b)-isosceles-orthogonality preserving mappings
%A Zamani, Ali
%A Sal Moslehian, Mohammad
%J Aequationes Mathematicae
%@ 0001-9054
%D 2016
