E-Prints Complutense

Weakly compact operators and the strong* topology for a Banach space



Último año

Villanueva, Ignacio y Peralta Pereira, Antonio Miguel y Wright, J. D. Maitland y Ylinen, Kari (2010) Weakly compact operators and the strong* topology for a Banach space. Proceedings of the Royal Society of Edinburgh: Section A Mathematics, 140 (6). pp. 1249-1267. ISSN 0308-2105

Vista previa

URL Oficial: http://journals.cambridge.org/action/displayJournal?jid=PRM


The strong* topology s_(X) of a Banach space X is defined as the locally convex topology generated by the seminorms x 7! kSxk for bounded linear maps S from X into Hilbert spaces. The w-right topology for X, _(X), is a stronger locally convex topology, which may be analogously characterised by taking reflexive Banach spaces in place of Hilbert spaces. For any Banach space Y , a linear map T : X ! Y is known to be weakly compact precisely when T is continuous from the w-right topology to the norm topology of Y . The main results deal with conditions for, and consequences of, the coincidence of these two topologies on norm bounded sets. A large class of Banach spaces, including all C_-algebras, and more generally, all JB_-triples, exhibit this behaviour.

Tipo de documento:Artículo
Palabras clave:Strong* topology; W-right topology; C_-algebra; JB_-triple; Weakly compact operator
Materias:Ciencias > Matemáticas > Análisis funcional y teoría de operadores
Código ID:12363
Depositado:07 Mar 2011 11:12
Última Modificación:06 Feb 2014 09:23

Descargas en el último año

Sólo personal del repositorio: página de control del artículo