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متن کاملCompact Operators
In these notes we provide an introduction to compact linear operators on Banach and Hilbert spaces. These operators behave very much like familiar finite dimensional matrices, without necessarily having finite rank. For more thorough treatments, see [RS, Y]. Definition 1 Let X and Y be Banach spaces. A linear operator C : X → Y is said to be compact if for each bounded sequence {xi}i∈IN ⊂ X , t...
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ژورنال
عنوان ژورنال: Expositiones Mathematicae
سال: 2017
ISSN: 0723-0869
DOI: 10.1016/j.exmath.2016.06.003