About: Operator ideal

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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.

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  • 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. (en)
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  • 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. (en)
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  • Operator ideal (en)
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