# 草莓视频人APP污片视频

Questions tagged [isometry]

782 问题

0答案
11浏览

1回答
54浏览

### 等面积内表面之间的每个等距浸没都具有内射性吗？

Let $M,N$ be smooth connected, compact two-dimensional Riemannian manifolds, such that $M$ has a non-empty Lipschitz boundary. Suppose that $\operatorname{Vol}(M)=\operatorname{Vol}(N)$. 题： ...
1回答
47浏览

1回答
25浏览

### 关于内积空间上的反射运算符的问题

Let $V$ be an $n$-dimensional real inner product space. Suppose $u \in V$ has norm 1, and define the reflection in the direction of $u$ as r_u(v) = v - 2 \langle v, u \rangle u = v - 2proj_{span(u)}(...
0答案
11浏览

### 证明范数相等（Hardy空间上的合成算子）

For $\lambda\in \mathbb{D}$ fixed, let $C_{\phi}$ denote the composition operator on Hardy space $H^2(\mathbb{D})$ (I.e. $C_{\phi}f:=f(\phi)$) with symbol $\phi=\frac{\lambda-z}{1-\bar{\lambda}z}$ (a ...
1回答
176浏览

2答案
77浏览

### If $T:(\mathbb{R}^2,\|\cdot\|_p) \to (\mathbb{R}^2,\|\cdot\|_q)$ is an onto linear isometry, then must it be $p=q$?

Question: Let $p,q\in [1,\infty)$ and suppose that that $T:(\mathbb{R}^2,\|\cdot\|_p) \to (\mathbb{R}^2,\|\cdot\|_q)$ is an onto linear isometry. Must it be $p=q$? 我认为等轴测是真的...
0答案
41浏览

### If a Hilbert space is linearly isometric to a Banach space, will the Banach space be a Hilbert space? [duplicate]

Question: Given two Banach spaces $X$ and $Y$, if there exists an onto linear isometry $T:X\to Y$ and $X$ is a Hilbert space, is it true that $Y$ is a Hilbert space? 直觉上这对我来说是真的。
1回答
33浏览

### Let $X$ be a Banach space and $E$ a sublinear subspace . Show there exists a surjective isometry $\phi : E^* \rightarrow \overline{ E}^*$

Let $X$ be a Banach space and $E$ a sublinear subspace of $X$ . Show there exists a surjective isometry $\phi : E^* \rightarrow \overline{ E}^*$ 我认为这可能是戈尔斯廷的衍生事实...

15 30 50 每页