The numerical radius Haagerup norm and Hilbert space square factorizations

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dc.creatorItoh, Takashi
dc.creatorNagisa, Masaru
dc.date2004-04-07
dc.date.accessioned2026-07-07T05:07:15Z
dc.date.available2026-07-07T05:07:15Z
dc.descriptionWe study a factorization of bounded linear maps from an operator space $A$ to its dual space $A^*$. It is shown that $T : A \longrightarrow A^*$ factors through a pair of a column Hilbert spaces $\mathcal{H}_c$ and its dual space if and only if $T$ is a bounded linear form on $A \otimes A$ by the canonical identification equipped with a numerical radius type Haagerup norm. As a consequence, we characterize a bounded linear map from a Banach space to its dual space, which factors through a pair of Hilbert spaces.
dc.description16 pages
dc.identifierhttps://arxiv.org/abs/math/0404152
dc.identifierhttp://arxiv.org/abs/math/0404152
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/70784
dc.subjectOperator Algebras
dc.subject46L07 (Primary) 47L25, 46B28, 46L06 (Secontary)
dc.titleThe numerical radius Haagerup norm and Hilbert space square factorizations
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