TL;DRAbstract
Let T be the unit circle and let H2(T) (⊂L2(T)) be the classical Hardy space. Let P : L2(T) →H2(T) be the orthogonal projection and let ø ε ∞(T). The Hankel operator Hø associated with ø is given by Høf = (I - P)øf, f εH2(T). Clearly Hø= 0 if and only if ø ε H∞(T) := L ∞(T)⋂H2(T); moreover, Hø is compact if and only if φε H∞(T) + C(T) ([3]).
Chat with Paper
AI Agents for this Paper
Let T be the unit circle and let H2(T) (⊂L2(T)) be the classical Hardy space. Let P : L2(T) →H2(T) be the orthogonal projection and let ø ε ∞(T). The Hankel operator Hø associated with ø is given by Høf = (I - P)øf, f εH2(T). Clearly Hø= 0 if and only if ø ε H∞(T) := L ∞(T)⋂H2(T); moreover, Hø is compact if and only if φε H∞(T) + C(T) ([3]).
Keywords
Linear subspaceHardy spaceMathematicsUnit circleInvariant (physics)Projection (relational algebra)Hankel matrixOrthographic projection
Chat
Click to start Chat