Obstructions for compactness of Hankel operators: Compactness multipliers
نویسندگان
چکیده
منابع مشابه
Compactness properties of operator multipliers
We continue the study of multidimensional operator multipliers initiated in [12]. We introduce the notion of the symbol of an operator multiplier. We characterise completely compact operator multipliers in terms of their symbol as well as in terms of approximation by finite rank multipliers. We give sufficient conditions for the sets of compact and completely compact multipliers to coincide and...
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Résumé. Une légère modification de la notion de compacité relativement à un opérateur de fermeture permet d’étendre à la catégorie TOP des espaces topologiques divers résultats sur les opérateurs de fermeture réguliers obtenus pour la catégorie AB des groups abéliens. Ainsi les épimorphismes dans les sous-catégories des objets compacts ou compactsséparés pour un opérateur de fermeture régulier ...
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ژورنال
عنوان ژورنال: Illinois Journal of Mathematics
سال: 2016
ISSN: 0019-2082
DOI: 10.1215/ijm/1499760023