An alternative-conditional functional equation and the orthogonally additive functionals |
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| Authors: | Margherita Fochi |
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| Institution: | 1. Dipartimento di Matematica, Università di Torino, Via Carlo Alberto 10, I-10123, Torino, Italy
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| Abstract: | Let X be a real inner product space of dimension greater than 2 and f be a real functional defined on X. Applying some ideas from the recent studies made on the alternative-conditional functional equation
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(x, y) = 0 T f(x + y)2 = f(x) + f(y)]2(x, y) = 0 \Rightarrow f(x + y)^2 = f(x) + f(y)]^{2} |
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