![SOLVED: Let B denote the closed unit ball in R³: B = (x, y, z) ∈ R³: x² + y² + z² < 1 Let f: R³ â†' R be the function SOLVED: Let B denote the closed unit ball in R³: B = (x, y, z) ∈ R³: x² + y² + z² < 1 Let f: R³ â†' R be the function](https://cdn.numerade.com/ask_images/6655d28922654ca6acfbbec454651857.jpg)
SOLVED: Let B denote the closed unit ball in R³: B = (x, y, z) ∈ R³: x² + y² + z² < 1 Let f: R³ â†' R be the function
![SOLVED: Show that the closed unit ball in a Hilbert space H is compact if and only if H is finite dimensional. HINT: The closed unit ball must contain any basis. SOLVED: Show that the closed unit ball in a Hilbert space H is compact if and only if H is finite dimensional. HINT: The closed unit ball must contain any basis.](https://cdn.numerade.com/project-universal/previews/507d7996-b134-4813-ac60-98bfcdcf3d67.gif)
SOLVED: Show that the closed unit ball in a Hilbert space H is compact if and only if H is finite dimensional. HINT: The closed unit ball must contain any basis.
![real analysis - Show that S is non-compact and deduce further that the closed unit ball in X is non-compact. - Mathematics Stack Exchange real analysis - Show that S is non-compact and deduce further that the closed unit ball in X is non-compact. - Mathematics Stack Exchange](https://i.stack.imgur.com/BOYPV.png)
real analysis - Show that S is non-compact and deduce further that the closed unit ball in X is non-compact. - Mathematics Stack Exchange
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Automatic 1 HP Hollow Ball Hole Closed Machine, Model Name/Number: TPHBM0109 at Rs 700000/unit in Agra
![functional analysis - Can we visualize the closed balls for the space $l^{\infty}$ equipped with the $\sup$ norm - Mathematics Stack Exchange functional analysis - Can we visualize the closed balls for the space $l^{\infty}$ equipped with the $\sup$ norm - Mathematics Stack Exchange](https://i.stack.imgur.com/StSEn.jpg)
functional analysis - Can we visualize the closed balls for the space $l^{\infty}$ equipped with the $\sup$ norm - Mathematics Stack Exchange
![Why are the sets U and V pictured open? My understanding is that X is inheriting the subspace topology from R^2. So the basis elements are rectangles of R^2 intersecting with the Why are the sets U and V pictured open? My understanding is that X is inheriting the subspace topology from R^2. So the basis elements are rectangles of R^2 intersecting with the](https://preview.redd.it/why-are-the-sets-u-and-v-pictured-open-my-understanding-is-v0-pyykwefiazgb1.png?auto=webp&s=2ef36542fe895a1578fecadeea43e2675b2f55e4)
Why are the sets U and V pictured open? My understanding is that X is inheriting the subspace topology from R^2. So the basis elements are rectangles of R^2 intersecting with the
![metric spaces - Sketch a unit ball $B(0, 1)$ in $\mathbb{R}^2$ equipped with the following norm: $||(x, y)|| =$ max{|$x$|,|$y$|} - Mathematics Stack Exchange metric spaces - Sketch a unit ball $B(0, 1)$ in $\mathbb{R}^2$ equipped with the following norm: $||(x, y)|| =$ max{|$x$|,|$y$|} - Mathematics Stack Exchange](https://i.stack.imgur.com/sIfxb.png)
metric spaces - Sketch a unit ball $B(0, 1)$ in $\mathbb{R}^2$ equipped with the following norm: $||(x, y)|| =$ max{|$x$|,|$y$|} - Mathematics Stack Exchange
![real analysis - Will the "closed" unit ball $\left\| x \right\| \le 1$ in $\Bbb R^n$ be a compact set for any norm? - Mathematics Stack Exchange real analysis - Will the "closed" unit ball $\left\| x \right\| \le 1$ in $\Bbb R^n$ be a compact set for any norm? - Mathematics Stack Exchange](https://i.stack.imgur.com/MD2uR.png)