Título inglés |
Orthogonality in normed linear spaces: a classification of the different concepts and some open problems. |
Título español |
Ortogonalidad en espacios lineales normados: clasificación de los diferentes conceptos y algunos problemas abiertos. |
Autor/es |
Benítez Rodríguez, Carlos |
Organización |
Dep. Anál. Mat. Fac. Cienc. Secc. Mat. Univ. Extremadura, Badajoz, España |
Revista |
0214-3577 |
Publicación |
1989, 2 (SUPL.): 53-57, 23 Ref. |
Tipo de documento |
articulo |
Idioma |
Inglés |
Resumen inglés |
Orthogonality in inner products is a binary relation that can be expressed in many ways without explicit mention to the inner product of the space. Great part of such definitions have also sense in normed linear spaces. This simple observation is at the base of many concepts of orthogonality in these more general structures. Various authors introduced such concepts over the last fifty years, although the origins of some of the most interesting results that can be obtained for these generalized concepts are, as usual in Mathematics, in previous of parallel works about convex sets, ellipsis or ellipsoids, duality, etc. (see, e.g., Gruber?s paper (1987) about the prior contributions of Carathéodory, Blaschke, or Radon). |
Clasificación UNESCO |
120200 |
Palabras clave español |
Espacios normados ; Ortogonalidad |
Código MathReviews |
MR1057208 |
Código Z-Math |
Zbl 0717.46012 |
Acceso al artículo completo |