New posts in lp-spaces

Can we approximate a.e. invertible matrices with everywhere invertible matrices in $L^2$ sense?

real-analysis measure-theory determinant lp-spaces perturbation-theory

Riesz Representation Theorem for $\ell^p$

real-analysis functional-analysis lp-spaces riesz-representation-theorem

$L^{p}$ functions from Rudin Exercises 3.5

real-analysis probability-theory lebesgue-integral lp-spaces

On a manifold, is the $L^p$ space of vector fields complete?

functional-analysis partial-differential-equations differential-topology riemannian-geometry lp-spaces

Weak* convergence in $L^\infty$ and the strong convergence in $L^2$ of a mollification?

real-analysis functional-analysis lp-spaces convolution weak-convergence

Can we approximate a vector field on the plane with non-vanishing vector fields in $L^2$?

real-analysis differential-topology lp-spaces vector-fields singularity-theory

Show that $(L^{p},\|\|_{p})$ is a Banach space.

real-analysis functional-analysis measure-theory proof-verification lp-spaces

When $L^p \subset L^q$ for $p <q$.

real-analysis measure-theory lp-spaces

Is $L^p$ for $0<p<1$ quasi-normed?

lp-spaces topological-vector-spaces

How can I prove Holder inequality for $0<p<1$? [closed]

inequality lp-spaces

Poincaré's inequality proof for $u \in W_0^{1,p}(\Omega)$.

functional-analysis partial-differential-equations sobolev-spaces lp-spaces

Dual space of $l^1$

functional-analysis lp-spaces dual-spaces

Compact inclusion in $L^p$

functional-analysis measure-theory compactness lp-spaces

Proof that $L^{p}$ is complete in Folland's Real Analysis

real-analysis functional-analysis lp-spaces

Gauss–Ostrogradsky formula for Distributions

measure-theory sobolev-spaces distribution-theory lp-spaces

Completeness of $\ell^2$ space

functional-analysis metric-spaces banach-spaces lp-spaces

Discontinuous functionals on $L^p$

functional-analysis lp-spaces

If a sequence $f_n$ is bounded in $L^2$ and converges to zero a.e., then $f_n\to 0$ in $L^p$ for $0<p<2$

real-analysis lebesgue-integral lp-spaces lebesgue-measure

Unit sphere in $L^p([0,1])$ is not compact.

functional-analysis lp-spaces

Do non-$\ell^2$ sequences have an $\ell^2$ functional that takes them to infinity? [duplicate]

sequences-and-series functional-analysis lp-spaces