List questions from hamel-basis | MathQa

What is the basis of the vector space of real numbers over rational numbers?

Published on 31 Dec 2024 - 0:15

What's an example of a vector space that doesn't have a basis if we don't accept Choice?

Published on 30 Dec 2024 - 11:42

Proving that basis always exists and is not unique

Published on 30 Dec 2024 - 6:51

Why isn't every Hamel basis a Schauder basis?

Published on 13 Jan 2025 - 2:47

Hamel Bases: Cardinality?

Published on 12 Jan 2025 - 17:32

Element in the linear span?

Published on 12 Jan 2025 - 18:00

Determine all $f:\Bbb R\to \Bbb R$ such that $f\big(a-3f(b)\big)=f\left(a+f(b)+b^3\right)+f\left(4f(b)+b^3\right)+1$ for every $a,b\in\Bbb R$.

Published on 30 Dec 2024 - 9:21

Doubt in the Hamel Basis of infinite Dimension Vector space

Published on 30 Dec 2024 - 18:14

Linear independent vectors - Span - Basis

Published on 13 Jan 2025 - 2:44

Can this be a Schauder basis of $\mathbb{R}[[x]]$

Published on 13 Jan 2025 - 2:44