New posts in Lp Spaces

What is the basis of the vector space $l^\infty$?

Measuring $\pi$ with alternate distance metrics (p-norm).

Intuitive explanation of $L^2$-norm

Inclusion of Schwartz space on $L^p$

Prove series converge for almost every $x$

If $u \in H^s(\mathbb{R}^n)$ for $s > n/2$, then $u \in L^\infty(\mathbb{R}^n)$?

Prove a function is in $L^2[0,1]$

Does $L^p$ have a basis for which the Pythagorean identity with exponent $p$ holds?

Space $\mathcal{L}^p(X, \Sigma, \mu)$ is separable iff $(\Sigma, \rho_\Delta)$ is separable

Pointwise almost everywhere convergent subsequence of $\{\sin (nx)\}$