All Questions

Let $ \mathcal{H} $ be a not-necessarily-separable Hilbert space. Let $ G $ be a locally compact Hausdorff group. It is easy to see that if $ U: G \to \mathbb{U}(\mathcal{H}) $ is a norm-continuous ...

Let $G$ be a compact Lie group with a biinvariant metric. Note that $G\times G$ acts isometrically on $G$ from left and right. Consider the quotient $D=G/H$ by a closed subgroup $H\le G\times G$; if $...

Let H denote the real Hilbert space 𝓁2(ℤ) with its usual inner product. If {en | n ∈ ℤ} denotes its standard orthonormal basis, define the unitary mapping W : H → H via W(en) = en+1, extended ...