Linear mappings approximately preserving orthogonality
نویسندگان
چکیده
منابع مشابه
Orthogonality preserving mappings on inner product C* -modules
Suppose that A is a C^*-algebra. We consider the class of A-linear mappins between two inner product A-modules such that for each two orthogonal vectors in the domain space their values are orthogonal in the target space. In this paper, we intend to determine A-linear mappings that preserve orthogonality. For this purpose, suppose that E and F are two inner product A-modules and A+ is the set o...
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moslehian and mirmostafaee, investigated the fuzzystability problems for the cauchy additive functional equation, the jensen additivefunctional equation and the cubic functional equation in fuzzybanach spaces. in this paper, we investigate thegeneralized hyers–-ulam--rassias stability of the generalizedadditive functional equation with $n$--variables, in fuzzy banachspaces. also, we will show ...
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1. Introduction. The investigation leading to this publication was motivated by a desire to try to understand the structure of a linear unital mapping ϕ from a unital algebra A of matrices contained in M h (C) into M n (C) which has the property that an invertible element in A is mapped into an invertible in M n (C). The interest in this question was raised by some earlier results on a linear i...
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ژورنال
عنوان ژورنال: Journal of Mathematical Analysis and Applications
سال: 2005
ISSN: 0022-247X
DOI: 10.1016/j.jmaa.2004.09.011