New posts in hamel-basis

Boundness of the operator when Hamel basis vectors are eigenvectors

functional-analysis hamel-basis

Why isn't every Hamel basis a Schauder basis?

functional-analysis schauder-basis hamel-basis

Vector space bases without axiom of choice

linear-algebra vector-spaces axiom-of-choice hamel-basis

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

linear-algebra vector-spaces set-theory axiom-of-choice hamel-basis

Confusion about the Hamel Basis

vector-spaces hilbert-spaces definition hamel-basis

Basis of a polynomial ring over the field of Rationals

linear-algebra polynomials vector-spaces hamel-basis

Is every vector space basis for $\mathbb{R}$ over the field $\mathbb{Q}$ a nonmeasurable set?

measure-theory vector-spaces axiom-of-choice hamel-basis

Why isn't this a counterexample of Banach-Steinhaus theorem?

functional-analysis banach-spaces examples-counterexamples hamel-basis

Finding a basis of an infinite-dimensional vector space?

linear-algebra hamel-basis

Vector Spaces and AC

linear-algebra vector-spaces axiom-of-choice hamel-basis

A Hamel basis for $\ell^p$?

functional-analysis banach-spaces lp-spaces axiom-of-choice hamel-basis

Is there a constructive way to exhibit a basis for $\mathbb{R}^\mathbb{N}$?

linear-algebra axiom-of-choice hamel-basis

What is the difference between a Hamel basis and a Schauder basis?

linear-algebra functional-analysis schauder-basis hamel-basis

Let $X$ be an infinite dimensional Banach space. Prove that every Hamel basis of X is uncountable.

functional-analysis banach-spaces normed-spaces baire-category hamel-basis