On summability of bilinear operators
Copyright policy )On summability of bilinear operators
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)
- University of San Andrés Argentina
Linear operators belonging to operator ideals (nuclear, \(p\)-summing, in the Schatten-von Neumann classes, etc.), \(p\)-summing operator, bilinear operator, Nonlinear operators and their properties, Infinite-dimensional holomorphy
Linear operators belonging to operator ideals (nuclear, \(p\)-summing, in the Schatten-von Neumann classes, etc.), \(p\)-summing operator, bilinear operator, Nonlinear operators and their properties, Infinite-dimensional holomorphy
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