Curvature and the Backward Shift Operators
Copyright policy )Curvature and the Backward Shift Operators
Let φ α {\varphi _\alpha } be a Möbius transformation of the unit disk D {\mathbf {D}} , | α | > 1 \left | \alpha \right | > 1 . We characterize all the operators T T in B 1 ( D ) {B_1}\left ( {\mathbf {D}} \right ) which are unitarily equivalent to φ α ( T ) {\varphi _\alpha }\left ( T \right ) for all α \alpha with | α | > 1 \left | \alpha \right | > 1 , using curvature techniques.
- University of Georgia Press United States
curvature techniques, discrete series representation, Möbius transformation, Cowen Douglas class, Other representations of locally compact groups, Linear operators on special spaces (weighted shifts, operators on sequence spaces, etc.)
curvature techniques, discrete series representation, Möbius transformation, Cowen Douglas class, Other representations of locally compact groups, Linear operators on special spaces (weighted shifts, operators on sequence spaces, etc.)
citations This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).22 popularity This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.Top 10% influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).Top 10% impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.Average
Citations provided by BIP!Popularity provided by BIP!