New posts in Functional Analysis

Is the limit of the spectral radius the spectral radius of the limit?

What functions can be represented as a series of eigenfunctions

An alternative proof of an application of Hahn-Banach

How to find functional square root of $\sin(x)$.

Using Banach-Alaoglu theorem on $L^1$

No non-negative continuous function on $[a,b]$ such that $\int_a^b f(t)dt=1, \int_a^b tf(t)dt=c, \int_a^b t^2f(t)dt=c^2$ for $c\in\mathbb{R}$.

Is the rectangular function a convolution of $L^1$ functions?

Can we approximate any eigenvalue of an infinite matrix via eigenvalues of some sequence of submatrices which approximates the matrix?

why a subspace is closed?

Convergence on locally convex spaces