Artículos Aizpuru
2009 Descarga digital Lectura en línea remove_red_eyember that a closed subspace M of a real Banach space X is said to be an L2-
summand subspace if there exists another closed subspace N of X verifying X =
(M ® N)2 (that is, ¡m + n||2 = ||m||2 + ||n||2 for every m e M and every n g N.)
The linear projection t?m of X onto M that fixes the elements of M and maps the
elements of N to {0} is called the L2-summand projection of X onto M. For a wider
perspective about L2-summand subspaces, see [1], [2], and... Saber másexpand_more
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mber that a closed subspace M of a real Banach space X is said to be an L2-
summand subspace if there exists another closed subspace N of X verifying X =
(M ® N)2 (that is, ¡m + n||2 = ||m||2 + ||n||2 for every m e M and every n g N.)
The linear projection t?m of X onto M that fixes the elements of M and maps the
elements of N to {0} is called the L2-summand projection of X onto M. For a wider
perspective about L2-summand subspaces, see [1], [2], and [3].
A vector e of a real Banach space X is an L2-summand vector if Re is an L2- summand subspace. Furthermore, if e A 0 then there exists a functional e* in X*, which is called the L2-summand functional of e, such that ||e*|| = ||e||—1, e* (e) = 1, and 7TRe G) = e* (a:) e for every x £ X. The set of all L2-summand vectors of A' will be denoted by Lx- For a wider perspective about L2-summand vectors, see [1]
Ficha técnica
- Título
- Artículos Aizpuru
- ISBN
- 978-84-9828-244-3
- Año de publicación
- 2009
- Nivel bibliográfico
- Monografía
- Idioma
- Inglés
- Idioma original
- Español / Castellano
- Formato producto
- Descarga digital
- Nº Páginas
- 402
- Editorial
- Servicio de Publicaciones de la Universidad de Cádiz
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