List questions from hamel-basis | MathQa

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

Published on 13 Apr 2025 - 3:11

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

Published on 13 Apr 2025 - 11:20

Proving that basis always exists and is not unique

Published on 18 Apr 2025 - 22:31

Why isn't every Hamel basis a Schauder basis?

Published on 19 Apr 2025 - 0:40

Hamel Bases: Cardinality?

Published on 18 Apr 2025 - 14:05

Element in the linear span?

Published on 12 Apr 2025 - 12:31

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 08 Apr 2025 - 10:30

Doubt in the Hamel Basis of infinite Dimension Vector space

Published on 06 Apr 2025 - 20:18

Linear independent vectors - Span - Basis

Published on 18 Apr 2025 - 15:53

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

Published on 13 Apr 2025 - 0:42