Functional analysis

Operator ideal

In functional analysis, a branch of mathematics, an operator ideal is a special kind of class of continuous linear operators between Banach spaces. If an operator belongs to an operator ideal , then for any operators and which can be composed with as , then is class as well. Additionally, in order for to be an operator ideal, it must contain the class of all finite-rank Banach space operators. (Wikipedia).

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Related pages

Continuous linear operator | Compact operator | Banach space | Functional analysis | Class (set theory) | Mathematics | Ideal (ring theory) | Strictly singular operator