New posts in Hilbert Spaces

Span of functions dense in $L^2$

Convergence in weak topology implies convergence in norm topology

An idempotent operator is compact if and only if it is of finite rank

$\ell_{p}$ space is not Hilbert for any norm if $p\neq 2$

Bounded operator that does not attain its norm

Why $\sin(nx)$ converges weakly in $L^2(-\pi,\pi)$?

Physical (Quantum Mechanical) Significance of completeness of Hilbert Spaces.

The direct sum of two closed subspace is closed? (Hilbert space)

$f$ an isometry from a hilbert space $H$ to itself such that $f(0)=0$ then $f$ linear.

Measure on Hilbert Space