## Abstract We characterize compact operators between complex interpolation spaces and between spaces obtained by using certain minimal methods in the sense of Aronszajn and Gagliardo. Applications to interpolation of compact operators are also given. (© 2004 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinh
Interpolation of bilinear operators and compactness
✍ Scribed by Dicesar Lass Fernandez; Eduardo Brandani da Silva
- Publisher
- Elsevier Science
- Year
- 2010
- Tongue
- English
- Weight
- 345 KB
- Volume
- 73
- Category
- Article
- ISSN
- 0362-546X
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## Abstract We 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 c
A completely bounded bilinear operator ,: M\_M Ä M on a von Neumann algebra M is said to have a factorization in M if there exist completely bounded linear operators j , % j : M Ä M such that ,(x, y)= : where convergence of the sum is made precise below. The main result of the paper is that all com