Induced norms of the Schur multiplier operator
نویسندگان
چکیده
منابع مشابه
Notes on super-operator norms induced by schatten norms
Let Φ be a super-operator, i.e., a linear mapping of the form Φ : L(F) → L(G) for finite dimensional Hilbert spaces F and G. This paper considers basic properties of the super-operator norms defined by ‖Φ‖q→p = sup{‖Φ(X)‖p/‖X‖q : X 6= 0}, induced by Schatten norms for 1 ≤ p, q ≤ ∞. These super-operator norms arise in various contexts in the study of quantum information. In this paper it is prov...
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ژورنال
عنوان ژورنال: Linear Algebra and its Applications
سال: 1991
ISSN: 0024-3795
DOI: 10.1016/0024-3795(91)90234-n