Powiadomienia systemowe
- Sesja wygasła!
- Sesja wygasła!
- Sesja wygasła!
- Sesja wygasła!
Tytuł artykułu
Autorzy
Wybrane pełne teksty z tego czasopisma
Identyfikatory
Warianty tytułu
Języki publikacji
Abstrakty
We solve a conditional functional equation of the form x ⊥y ⇒ f(x + y) = f(x) + f(y), where f is a mapping from a real normed linear space (X, k ź k) with dimX ≥2 into an abelian group (G, +) and ⊥ is a given orthogonality relation associated to the norm.
Wydawca
Rocznik
Tom
Strony
171--178
Opis fizyczny
bibliogr. 9 poz.
Twórcy
autor
autor
autor
- Sec. Matematiques, ETSAB-UPC Diagonal 649, 08028 Barcelona, Spain, claudio.alsina@upc.edu
Bibliografia
- [1] J. Aczél, Lectures on Functional Equations and Their Applications. Academic Press, New York - London, 1966.
- [2] J. Aczél, J. Dhombres, Functional Eequations in Several Variables. Cambridge University Press, Cambridge, 1989.
- [3] D. Amir, Characterization of Inner Product Spaces. Birkh¨auser Verlag, Basel-Boston-Stuttgart, 1986.
- [4] K. Baron, P. Volkmann, On orthogonally additive functions. Publ. Math. Debrecen 52 (1998), 291-297.
- [5] G. Birkhoff, Orthogonality in linear metric spaces. Duke Math. J. 1 (1935), 169-172.
- [6] L. Drewnowski, W. Orlicz, On orthogonally additive functionals, Bull. Acad. Polon. Sci Sér. Sci. Math. Astronom. Phys. 16 (1968), 883-888.
- [7] S. Gudder, D. Strawther, Orthogonally additive and orthogonally increasing functions on vector spaces, Pacific J. Math. 58 (1975), 427-436.
- [8] R. C. James, Orthogonality in normed linear spaces. Duke Math. J. 12, (1945). 291-302.
- [9] R. C. James, Orthogonality and linear functionals in normed linear spaces, Trans. Amer. Math. Soc. 61 (1947), 265-292.
- [10] M. Kuczma, An Introduction to the Theory of Functional Equations and Inequalities. Cauchy's Equation and Jensen's Inequality. PWN, Uniwersytet Śląski, Warszawa - Kraków - Katowice, 1985.
- [11] T. Precupanu, Characterizations of Hilbertian norms. Boll. U.M.I. 5 15-B (1978), 161-169.
- [12] J. Rätz, On orthogonally additive mappings, Aequationes Math. 28 (1985), 35-49.
- [13] K. Sundaresan, Orthogonality and nonlinear functionals on Banach spaces, Proc. Amer. Math. Soc. 34 (1972), 187-190.
- [14] Gy. Szabó, On mappings orthogonally additive in the Birkhoff-James sense, Aequationes Math. 30 (1986), 93-105.
- [15] Gy. Szabó, On orthogonality spaces admitting nontrivial even orthogonally additive mappings. Acta Math. Hungar. 56 (1990), no. 1-2, 177-187.
- [16] Gy. Szabó, Continuous orthogonality spaces. Publ. Math. Debrecen 38 (1991), no. 3-4, 311-322.
- [17] Gy. Szabó, A conditional Cauchy equation on normed spaces, Publ. Math. Debrecen 42 (1993), 256-271.
- [18] Gy. Szabó, Isosceles orthogonally additive mappings and inner product spaces, Publ. Math. Debrecen 46 (1995), 373-384.
- [19] Gy. Szabó, Pythagorean orthogonality and additive mappings, Aequationes Math. 53 (1997),108-126.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-BUS5-0019-0009