Geodesic
Factorizing multilinear operators on Banach spaces, $C^{*}$-algebras and $JB^{*}$-triples
Carlos Palazuelos1 ; Antonio M. Peralta2 ; Ignacio Villanueva1
1 Departamento de Análisis Matemático Facultad de Matemáticas Universidad Complutense de Madrid 28040 Madrid, Spain
2 Departamento de Análisis Matemático Facultad de Ciencias Universidad de Granada 18071 Granada, Spain
Studia Mathematica, Tome 192 (2009) no. 2, pp. 129-146 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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In recent papers, the Right and the Strong$^*$ topologies have been introduced and studied on general Banach spaces. We characterize different types of continuity for multilinear operators (joint, uniform, etc.) with respect to the above topologies. We also study the relations between them. Finally, in the last section, we relate the joint Strong$^{*}$-to-norm continuity of a multilinear operator $T$ defined on $C^{*}$-algebras (respectively, $JB^{*}$-triples) to $C^{*}$-summability (respectively, $JB^*$-triple-summability).
DOI : 10.4064/sm192-2-3
Keywords: recent papers right strong * topologies have introduced studied general banach spaces characterize different types continuity multilinear operators joint uniform etc respect above topologies study relations between finally section relate joint strong * to norm continuity multilinear operator defined * algebras respectively * triples * summability respectively * triple summability

Carlos Palazuelos 1 ; Antonio M. Peralta 2 ; Ignacio Villanueva 1

1 Departamento de Análisis Matemático Facultad de Matemáticas Universidad Complutense de Madrid 28040 Madrid, Spain
2 Departamento de Análisis Matemático Facultad de Ciencias Universidad de Granada 18071 Granada, Spain 
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     title = {Factorizing multilinear operators on {Banach} spaces,
 $C^{*}$-algebras and $JB^{*}$-triples},
     journal = {Studia Mathematica},
     pages = {129--146},
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 $C^{*}$-algebras and $JB^{*}$-triples
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 $C^{*}$-algebras and $JB^{*}$-triples
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Carlos Palazuelos; Antonio M. Peralta; Ignacio Villanueva. Factorizing multilinear operators on Banach spaces,
 $C^{*}$-algebras and $JB^{*}$-triples. Studia Mathematica, Tome 192 (2009) no. 2, pp. 129-146. doi: 10.4064/sm192-2-3

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