On normed products of operator ideals which contain $\frak{L}_2$ as a factor

dc.creatorOertel, Frank
dc.date2001-08-18
dc.date.accessioned2026-07-07T04:43:01Z
dc.date.available2026-07-07T04:43:01Z
dc.descriptionWe investigate quasi-Banach operator ideal products $({\frak{A}}\circ{\frak{B}},\mathbf{A\circ B})$ which contain $(\frak{L}_2, \mathbf{L}_2)$ as a factor. In particular, we ask for conditions which guarantee that $\mathbf{A\circ B}$ is even a norm if each factor of the product is a 1-Banach ideal. In doing so, we reveal the strong influence of the existence of such a norm in relation to the accessibility of the product ideal and the structure of its factors.
dc.identifierhttps://arxiv.org/abs/math/0108123
dc.identifierhttp://arxiv.org/abs/math/0108123
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/62037
dc.subjectFunctional Analysis
dc.subject46A32, 46M05, 47L20 (primary); 46B07, 46B10, 46B28 (secondary)
dc.titleOn normed products of operator ideals which contain $\frak{L}_2$ as a factor
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