中文

Sur les op\'erateurs factorisables par $OH$

泛函分析 2016-09-06 v1

摘要

Let H,KH,K be Hilbert spaces. Let EB(H)E \subset B(H) and FB(K)F \subset B(K) be operator spaces in the sense of [1,2]. We study the operators u:EFu : E \to F which admit a factorization EOHFE \to OH \to F with completely bounded maps through the operator Hilbert space OHOH which we have introduced and studied in a recent note. We give a characterization of these operators which allows to develop a theory entirely analogous to that of operators between Banach spaces which can be factored through a Hilbert space.

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引用

@article{arxiv.math/9212206,
  title  = {Sur les op\'erateurs factorisables par $OH$},
  author = {Gilles Pisier},
  journal= {arXiv preprint arXiv:math/9212206},
  year   = {2016}
}