Newbetuts

How to prove that the canonical inclusion of $V_1^\ast\otimes \cdots \otimes V_n^\ast$ into $(V_1\otimes\cdots\otimes V_n)^\ast$ is an inclusion

Sum of two subspaces is equal to the span of their union

Loomis and Sternberg Problem 1.58

Using the definition of a vector space to prove that $0x = 0$ and $(-1)x = -x$

Difference between the algebraic and topological dual of a topological vector space?

Question about basis and finite dimensional vector space

Solid angle between vectors in n-dimensional space

A question about finite group acting on inputs and outputs of maps between vector spaces.

How to find a basis for $2\times 2$ matrix

$\mathbb{R}$ and $\mathbb{C}$ as $\mathbb{Q}$ vector spaces

Scalar Product for Vector Space of Monomial Symmetric Functions

If $V \times W$ with the product norm is complete, must $V$ and $W$ be complete?

Finite-dimensional space naturally isomorphic to its double dual?

Is the complexification of $\mathfrak{sl}(n, \mathbb{C})$ itself?

Mistake in proof about vector spaces

With regards to vector spaces, what does it mean to be 'closed under addition?'

New posts in vector-spaces

Loomis and Sternberg Problem 1.56

$[S]$ means linear span of S. Then $[S] = [[S]]$

Calculate the angle between two vectors

Prove in full detail that the set is a vector space

How to prove that the canonical inclusion of $V_1^\ast\otimes \cdots \otimes V_n^\ast$ into $(V_1\otimes\cdots\otimes V_n)^\ast$ is an inclusion

Sum of two subspaces is equal to the span of their union

Loomis and Sternberg Problem 1.58

Using the definition of a vector space to prove that $0x = 0$ and $(-1)x = -x$

Difference between the algebraic and topological dual of a topological vector space?

Question about basis and finite dimensional vector space

Solid angle between vectors in n-dimensional space

A question about finite group acting on inputs and outputs of maps between vector spaces.

How to find a basis for $2\times 2$ matrix

$\mathbb{R}$ and $\mathbb{C}$ as $\mathbb{Q}$ vector spaces

Scalar Product for Vector Space of Monomial Symmetric Functions

If $V \times W$ with the product norm is complete, must $V$ and $W$ be complete?

Finite-dimensional space naturally isomorphic to its double dual?

Is the complexification of $\mathfrak{sl}(n, \mathbb{C})$ itself?

Mistake in proof about vector spaces

With regards to vector spaces, what does it mean to be 'closed under addition?'