{"height":"190","url":"https://randommemory.hatenablog.com/entry/2021/06/19/212532","blog_title":"\u3089\u3093\u3060\u3080\u306a\u8a18\u61b6","author_url":"https://blog.hatena.ne.jp/derwind/","title":"Kronecker \u7a4d","width":"100%","provider_name":"Hatena Blog","author_name":"derwind","type":"rich","categories":["math-alg"],"version":"1.0","provider_url":"https://hatena.blog","blog_url":"https://randommemory.hatenablog.com/","description":"\u9069\u5f53\u306a\u30d9\u30af\u30c8\u30eb\u7a7a\u9593 $V$ \u3092\u8003\u3048\u308b\u6642\u3001$V \\otimes V$ \u306f\u3001$v_1, v_2 \\in V$ \u306b\u5bfe\u3057\u3066\u3001$V \\simeq (V^*)^*$ \u3068\u898b\u3066\\begin{align*} (v_1 \\otimes v_2)(\\psi, \\phi) = v_1(\\psi) v_2(\\phi),\\ \\psi, \\phi \\in V^* \\end{align*}\u3068\u5b9a\u7fa9\u3055\u308c\u308b\u3002$V$ \u304c Hilbert \u7a7a\u9593\u306e\u5834\u5408\u306b\u306f\u3001\u5185\u7a4d\u3092 $\\langle\\cdot|\\cdot\\rangle$ \u3068\u3057\u3066 $V \\simeq V^*$ \u306b\u6ce8\u610f\u3057\u3066\\begin{align*} (v_1 \\otimes v_2)(\\p\u2026","image_url":null,"html":"<iframe src=\"https://hatenablog-parts.com/embed?url=https%3A%2F%2Frandommemory.hatenablog.com%2Fentry%2F2021%2F06%2F19%2F212532\" title=\"Kronecker \u7a4d - \u3089\u3093\u3060\u3080\u306a\u8a18\u61b6\" class=\"embed-card embed-blogcard\" scrolling=\"no\" frameborder=\"0\" style=\"display: block; width: 100%; height: 190px; max-width: 500px; margin: 10px 0px;\"></iframe>","published":"2021-06-19 21:25:32"}