Consider the infinite dimensional vector space with the orthonormal basis \(\vec { e _ { i } }\) \(i = 1 , 2 , \dots\) Construct the continuous family of linear transformations \(U ( \lambda )\) \(0 \leqslant \lambda \leqslant 1\) , acting in this space such that \(U ( 1 ) = E\) and \(U ( 0 ) \vec { e } _ { i } = \vec { e } _ { i + 1 } , i = 1 , 2 ,\)
Continuous path from the identity to the unilateral shift
P-TRIV-LA29
- Area
- Prelim
- Status
- draft