希爾伯特空間(Hilbert space),內積之完備向量空間也,有限維歐幾里得空間之進也。
不囿實數有限維,未失非歐幾里得空間棄之完備性。
仿與歐幾里得空間,亦內積空間也,具距、角之概念,正交性、垂直性之概念。
希爾伯特空間,完備空間也,柯西序列斂點也,微積分大可平移至之。
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