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2011, vol. 15, br. 1, str. 49-52
Singer orthogonality and james orthogonality in the so-called quasi-inner product space
(naslov ne postoji na srpskom)
Univerzitet u Beogradu, Matematički fakultet, Srbija

e-adresapavle.Milicic @gmail.com
Ključne reči: go here
Sažetak
(ne postoji na srpskom)
In this note we prove that, in a quasi-inner product space, S-orthogonality and J-orthogonality can be defined with the best approximations.
Reference
Alonso, J., Benitez, C. (1988) Orthogonality in normed linear spaces: Part I. Extracta Mathematicae, 3(1), 1-15; Part II, Ekstrata Mathematicae 4(3) (1989), 121-131
Dragomir, S.S. (2004) Semi-inner products and applications. Hauppauge, NY: Nova Science Publishers, Inc
Miličić, P.M. (1973) Sur le produit scalaire généralisé. Mat. Vesnik, (25),10, 325-329
Miličić, P.M. (1994) On orthogonalities in normed spaces. Mathematica Montisnigri, Vol III, 69-77
Miličić, P.M. (1998) On the quasi-inner product spaces. Matematicki bilten, Skopje, 22, XLVIII, 19-30
Miličić, P.M. (2001) On the g-orthogonal projection and the best approximation of vector in a semi-inner product space. Sciantiae Mathematicae Japonicae, vol. 54, No3
Miličić, P.M. (2005) On the best approximation in smooth and uniformly convex real Banach space. Facta universitatis - series: Mathematics and Informatics, br. 20, str. 57-64
Miličić, P.M. (1998) A generalization of the parallelogram equality in normed spaces. Journal of Mathematics of Kyoto University, 38, 1, 71-75
Miličić, P.M. (1987) Sur la g-orthogonalté dans un espace normé. Mat. Vesnik, 39(3): 325
 

O članku

jezik rada: engleski
vrsta rada: neklasifikovan
DOI: 10.5937/MatMor1101049M
objavljen u SCIndeksu: 27.03.2012.

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