Séminaire d'analyse fonctionnelle Metz-Sarrebruck Le jeudi 14 mai 2009: Dominik Faas (Sarrebruck) Sophie Grivaux ( Lille)
![SOLVED: For a metric space (X, d), where a ∈ X and r > 0, prove that the open ball B(a, r) is an open set and the closed ball B[a, r] SOLVED: For a metric space (X, d), where a ∈ X and r > 0, prove that the open ball B(a, r) is an open set and the closed ball B[a, r]](https://cdn.numerade.com/ask_images/fb753a83d3da4561be44b20ae150f2be.jpg)
SOLVED: For a metric space (X, d), where a ∈ X and r > 0, prove that the open ball B(a, r) is an open set and the closed ball B[a, r]
![the closed range theorem | Integration theory & functional analysis | m.sc 4th Sem @studynote99 - YouTube the closed range theorem | Integration theory & functional analysis | m.sc 4th Sem @studynote99 - YouTube](https://i.ytimg.com/vi/OtnxWl4vS48/mqdefault.jpg)
the closed range theorem | Integration theory & functional analysis | m.sc 4th Sem @studynote99 - YouTube
![functional analysis - Show that the range $R(T)$ is not closed in $l^2$ norm for $T:(x_1, . . . , x_n, . . .) → (x_1, . . . ,\frac{1}{n}x_n, . . .)$ - Mathematics Stack Exchange functional analysis - Show that the range $R(T)$ is not closed in $l^2$ norm for $T:(x_1, . . . , x_n, . . .) → (x_1, . . . ,\frac{1}{n}x_n, . . .)$ - Mathematics Stack Exchange](https://i.stack.imgur.com/EJfza.jpg)
functional analysis - Show that the range $R(T)$ is not closed in $l^2$ norm for $T:(x_1, . . . , x_n, . . .) → (x_1, . . . ,\frac{1}{n}x_n, . . .)$ - Mathematics Stack Exchange
![SOLVED: Which of the following theorems A: The intermediate value theorem states that a function continuous on B. Rolle's theorem a closed interval takes on all C. The mean value theorem intermediate SOLVED: Which of the following theorems A: The intermediate value theorem states that a function continuous on B. Rolle's theorem a closed interval takes on all C. The mean value theorem intermediate](https://cdn.numerade.com/ask_images/25d92214e95b4f8a9e524c65d2638ede.jpg)