Johnson's projection, Kalton's property (M*), and M-ideals of compact operators
نویسندگان
چکیده
منابع مشابه
Johnson’s Projection, Kalton’s Property (m∗), and M-ideals of Compact Operators
Let X and Y be Banach spaces. We give a “non-separable” proof of the Kalton-Werner-Lima-Oja theorem that the subspaceK(X, X) of compact operators forms an M -ideal in the space L(X, X) of all continuous linear operators from X to X if and only if X has Kalton’s property (M∗) and the metric compact approximation property. Our proof is a quick consequence of two main results. First, we describe h...
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ژورنال
عنوان ژورنال: Studia Mathematica
سال: 2009
ISSN: 0039-3223,1730-6337
DOI: 10.4064/sm195-3-4