Quasibilinear functionals
Abstract
In this paper a certain natural generalization of bilinear functional is introduced and investigated. We define quasibilinear functionals by replacing the additivity of a bilinear functional with three weaker conditions. The solution is a sequence of bilinear functionals on subspaces of the given linear space.
References
1. R. Ger, On a method of solving of conditional Cauchy equation, Univ. Beograd Publ. Elektrotehn. Fak. Ser. Mat. Fiz. 544-576 (1976), 159-165.
2. M. Kordos, Full four-absolute geometry, Bull. Acad. Polon. Sci. Sér. Sci. Math. Astronom. Phys. 30 (1982), 439-443.
3. B.A. Rozenfel'd, Noneuclidean spaces (in Russian), Moscow 1969.
2. M. Kordos, Full four-absolute geometry, Bull. Acad. Polon. Sci. Sér. Sci. Math. Astronom. Phys. 30 (1982), 439-443.
3. B.A. Rozenfel'd, Noneuclidean spaces (in Russian), Moscow 1969.
FrydaJ. (1992). Quasibilinear functionals. Annales Mathematicae Silesianae, 6, 65-83. Retrieved from https://www.journals.us.edu.pl/index.php/AMSIL/article/view/14268
Jan Fryda
Instytut Matematyki, Uniwersytet Śląski w Katowicach Poland
Instytut Matematyki, Uniwersytet Śląski w Katowicach Poland
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