ガロア第一論文と乗数イデアル他関連資料スレ2

ガロア第一論文と乗数イデアル他関連資料スレ2at MATH

ガロア第一論文と乗数イデアル他関連資料スレ2 - 暇つぶし2ch598:gue spaces, named after Henri Lebesgue (Dunford & Schwartz 1958, III.3), although according to the Bourbaki group (Bourbaki 1987) they were first introduced by Frigyes Riesz (Riesz 1910). Lp spaces form an important class of Banach spaces in functional analysis, and of topological vector spaces. Hilbert spaces See also: Square-integrable function Hilbert spaces are central to many applications, from quantum mechanics to stochastic calculus. The spaces L^2 and l^2 are both Hilbert spaces. In fact, by choosing a Hilbert basis E, i.e., a maximal orthonormal subset of L^2 or any Hilbert space, one sees that every Hilbert space is isometrically isomorphic to l ^2(E) (same E as above), i.e., a Hilbert space of type ｌ2. https://ja.wikipedia.org/wiki/Lp%E7%A9%BA%E9%96%93 Lp空間可算無限次元における p-ノルム詳細は「数列空間」を参照 l^2二乗総和可能な数列の空間で、ヒルベルト空間でもある； (引用終り) 以上

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