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泛函分析中,算子空间(operator space)是赋范向量空间(不必是巴拿赫空间)[1],“与到希尔伯特空间H上所有有界算子空间的等距嵌入一同给出”。[2][3]算子空间之间的适当态射是完备有界映射。
算子空间范畴包含算子系统与算子代数。对于算子系统,除了算子空间的诱导矩阵范数之外,还有诱导矩阵阶。对于算子代数,还有额外的环结构。
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