Truncated Toeplitz operators on model spaces

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Truncated Toeplitz operators on model spaces Dan Timotin IMAR Joint work with A.Baranov, I.Chalendar, E.Fricain, and J. Mashreghi Dan Timotin (IMAR) Truncated Toeplitz operators Lille 2010 1 / 15

  • h2 ?

  • truncated toeplitz operators

  • p? corresponding orthogonal

  • dan timotin


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TruncatedToeplitzoperatorsonmodelspacesDanTimotinRAMIJointworkwithA.Baranov,I.Chalendar,E.Fricain,andJ.MashreghiDaniTomtni(IAMR)rTuncatedoTepiltzoperatorsLliel20101/15
Toeplitz&HankelL2(T)=H2(T)H2(T).P+,Pcorrespondingorthogonalprojections.DaniTomtni(IAMR)rTuncatedoTepiltzoperatorsLliel20102/15
Toeplitz&HankelL2(T)=H2(T)H2(T).P+,Pcorrespondingorthogonalprojections.DaniTomtni(IAMR)S∈L(H2),rTuncatedT(Sf)(z)=zf(z).oepiltzoperatorsLliel20102/15
Toeplitz&HankelL2(T)=H2(T)H2(T).P+,Pcorrespondingorthogonalprojections.S∈L(H2),MultiplicationsinL2:f7→φf.DaniTomtni(IAMR)rTuncatedT(Sf)(z)=zf(z).oepiltzoperatorsLliel20102/15
oTpelizt&aHknleL2(T)=H2(T)H2(T).P+,Pcorrespondingorthogonalprojections.S∈L(H2),(Sf)(z)=zf(z).MultiplicationsinL2:f7→φf.Compressing:otarepo)H(leknaHdna)T(ztilpeoT:srφφTφ(f)=P+(φf),Tφ:H2H2,Hφ(f)=P(φf),Hφ:H2H2.φisasymboloftheoperator.DaniTomtni(IAMR)rTuncatedoTepiltzoperatorsLliel20102/15
SymbolnaDTimotinoperator(IMAR)rTuncatedToeplitzoperatorselliL01023/51