All Questions
Tagged with hilbert-spaces group-actions
2 questions with no upvoted or accepted answers
1
vote
0
answers
81
views
Quotients of the Hilbert space
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 $...
1
vote
0
answers
70
views
What is the quotient of the unit sphere by the bilateral shift on infinite-dimensional separable real Hilbert space?
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 ...