New posts in Functional Analysis

What is something (non-trivial) that can be done in Hilbert space but not Banach spaces for optimization problems?

A proper subspace of a normed vector space has empty interior clarification

Is $T(C) \subseteq R^m$ closed?

Why is it enough for $\lim\limits_{h \to 0} \vert f(x+h)-f(x)\vert = 0$ to show uniform continuity

Use Fatou Lemma to show that $f$ takes real values almost everywhere.

When is $C_c^\infty(\mathbb R^d \setminus \{ 0 \})$ dense in $C_c^\infty(\mathbb R^d)$?

What is the theme of analysis?

Does $C_0(X)$ determine the topology for a locally compact space $X$?

Calculate the operator norm of $A: L^2[0,1] \to L^2[0,1]$ defined by $(Af)(x):=i\int_0^x f(t)\,dt-\frac{i}{2} \int_0^1 f(t) \,dt$

Sequence Lemma and statistical convergence