Abstract
AbstractWe study some properties of strongly and absolutely p‐summing bilinear operators. We show that Hilbert‐Schmidt bilinear mappings are both strongly and absolutely p‐summing, for every p ≥ 1. Giving an example of a strongly 1‐summing bilinear mapping which fails to be weakly compact, we answer a question posed in [6]. We prove that, as in the linear case, every bilinear operator from ℒ︁∞‐spaces to an ℒ︁2‐space is absolutely 2‐summing. (© 2003 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)
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