A notion of Dg-orthogonality and Dg-angle in normed spaces
*Muhammad NurCorresponding authormuhammadnur@unhas.ac.idDepartment of MathematicsJl. Perintis Kemerdekaan KM 10Hasanuddin UniversityMakassar, 90245, IndonesiaView full profile → , Harmanus Batkundehbatkunde@gmail.comDepartment of MathematicsJl. Ir . M. PutuhenaPattimura UniversityAmbon, 97233, IndonesiaView full profile →
* Corresponding author · click or hover a name for details
- Received:
- 20 Dec 2022
- Published Online:
- 30 Sep 2024
- Article type:
- Research Article
- Language:
- EN
- Article no.:
- JIM-1752
- Pages:
- 1285–1293
Abstract
Keywords
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References
[1] M. Y. Abed, “New form of orthogonality in the real normed spaces,” Journal of Interdisciplinary Mathematics, vol. 25, no. 8, pp. 2579-2584 (2022).
[2] V. Balestro, À. G. Horvàth, H. Martini, and R. Teixeira, “Angles in normed spaces,” Aequationes Math., vol. 91, no. 2, pp. 201-236 (2017).
[3] J. Alonso and J. Benìtez, “Orthogonality in normed linear spaces: A survey part I: Main properties,” Extracta Math., vol. 3, no. 1, pp. 1-15 (1988).
[4] G. Birkhoff, À. G. Horvàth, H. Martini, and R. Teixeira, “Orthogonality in normed linear spaces,” Duke Math. J., vol. 1, pp. 169-172 (1935).
[5] C. R. Diminnie, “A new orthogonality relation for normed linear spaces,” Houston J. Math., vol. 114, pp. 197-203 (1983).
[6] C. R. Diminnie, E. Z. Andalafte, and R. Freese, “Angles in normed linear spaces and a characterization of real inner product spaces,” Math. Nachr., vol. 129, pp. 197-204 (1986).
[7] S. S. Dragomir, Semi-inner Products and Applications, Nova Science Publishers Inc, Hauppauge (2004).
[8] R. W. Fresse and Y. J. Cho, Geometry of Linear 2-Normed Spaces, Nova Science Publishers Inc, New York (2001).
[9] S. Gähler, “Lineare 2-normierte Räume,” Math. Nachr., vol. 28, pp. 1-43 (1964).
[10] H. Gunawan and M. Mashadi, “On finite-dimensional 2-normed space,” Soochow J. Math., vol. 27, pp. 321-329 (2001).
[11] H. Gunawan, J. Lindiarni, and O. Neswan, “P-, I-, g-, and D-angles in normed spaces,” J. Math. Fund. Sci., vol. 40, no. 1, pp. 24-32 (2008).
[12] P. M. Milićić, “Sur la g-orthogonalte dans un espace norme,” Mat. Vesnik., vol. 39, pp. 325-334 (1987).
[13] P. M. Milićić, “On orthogonalities in normed spaces,” Mathematica Montisnigri, vol. 45, pp. 69-77 (1994).
[14] P. M. Milićić, “On the B-angle and g-angle in normed spaces,” J. Inequal. Pure and Appl. Math., vol. 8, no. 3, pp. 1-9 (2007).
[15] M. Nur and H. Gunawan, “A new orthogonality and angle in a normed space,” Aequat. Math., vol. 93, pp. 547-555 (2019).
[16] M. Nur, M. Idris, and Firman, “Angle in the space of p-summable sequences,” AIMS Mathematics, vol. 7, no. 2, pp. 2810-2819 (2022).
[17] M. Nur and H. Gunawan, “A note on the g-angle between subspaces of a normed space,” Aequationes Math., vol. 95, pp. 309-318 (2021).
[18] L. K. Shaakir, A. S. Mohammed, and A. A. Hijab, “Symmetric 2-normed spaces,” Journal of Interdisciplinary Mathematics, vol. 24, no. 5, pp. 1159-1162 (2021).
[19] N. Sookoo, “F-normed spaces and linear operators,” Journal of Interdisciplinary Mathematics, vol. 24, no. 4, pp. 911-919 (2021).




