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        "quote": "令$V$是带有内积结构$\\langle \\cdot\\mid \\cdot\\rangle:V\\times V\\rightarrow\\mathbb{C}$的复向量空间，满足5.2中的(IP1)-(IP3)，这样一个空间常被称为一个<u id=\"concept-13-pre-hilbert-space\" class=\"concept-term\" data-concept-identity=\"urn:uuid:533f0fe5-106d-4d9c-8fbb-d18f91263336\" data-concept-route=\"/concept-identities#concept-533f0fe5-106d-4d9c-8fbb-d18f91263336\">准希尔伯特空间(pre-Hilbert space)</u>。5.11可以在其上定义范数",
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