New posts in Functional Analysis

Closed subspace consisting of continuous functions in $L^{2}([0,1])$ is finite-dimensional

Does a $\mathrm{C}^*$-algebra generated by projections contain support projections

Questions about Definition of Vector Spaces

Proving that operator is linear if it is unitary and surjective

How to complete this proof process of Arzelà-Ascoli theorem?

The converse problem about duality of $L^p$

Is the Banach Algebra generated by a separable subset separable?

How to prove that this limit diverges?

Is completeness over a normed space invariant under linear homeomorphisms?

In ZF, does the ring of continuous functions $C([0,1], \mathbb{R})$ have prime ideals which is not maximal?