![linear algebra - Does $V=W\oplus W^\perp$ hold when $W$ is infinitely- dimensional? - Mathematics Stack Exchange linear algebra - Does $V=W\oplus W^\perp$ hold when $W$ is infinitely- dimensional? - Mathematics Stack Exchange](https://i.stack.imgur.com/XuMZM.png)
linear algebra - Does $V=W\oplus W^\perp$ hold when $W$ is infinitely- dimensional? - Mathematics Stack Exchange
![SOLVED: Let X be a closed subspace and Y be a finite dimensional subspace of a normed space X. Then X+Y is closed in X. Hint: Proof of 5.4b SOLVED: Let X be a closed subspace and Y be a finite dimensional subspace of a normed space X. Then X+Y is closed in X. Hint: Proof of 5.4b](https://cdn.numerade.com/project-universal/previews/65b8803c-3922-45d2-9fe9-df6a261a24d8.gif)
SOLVED: Let X be a closed subspace and Y be a finite dimensional subspace of a normed space X. Then X+Y is closed in X. Hint: Proof of 5.4b
![Finite Dimensional Subspace of a Normed linear space is closed || Functional analysis in telugu || - YouTube Finite Dimensional Subspace of a Normed linear space is closed || Functional analysis in telugu || - YouTube](https://i.ytimg.com/vi/wZ4zzqmfbvw/maxresdefault.jpg)
Finite Dimensional Subspace of a Normed linear space is closed || Functional analysis in telugu || - YouTube
![linear algebra - Subspace of a finite dimensional space is finite dimensional - Mathematics Stack Exchange linear algebra - Subspace of a finite dimensional space is finite dimensional - Mathematics Stack Exchange](https://i.stack.imgur.com/rXSyM.png)
linear algebra - Subspace of a finite dimensional space is finite dimensional - Mathematics Stack Exchange
![SOLVED: If Y is a finite-dimensional subspace of a normed space X and we want to approximate an element x out of Y, it is natural to choose a basis e1, e2, ..., SOLVED: If Y is a finite-dimensional subspace of a normed space X and we want to approximate an element x out of Y, it is natural to choose a basis e1, e2, ...,](https://cdn.numerade.com/ask_images/4ac39927581a471e9ea21b6899a5259d.jpg)