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Ditkin sets in homogeneous spaces

Tom 203 / 2011

Krishnan Parthasarathy, Nageswaran Shravan Kumar Studia Mathematica 203 (2011), 291-307 MSC: Primary 43A85, 43A45; Secondary 46L07. DOI: 10.4064/sm203-3-5

Streszczenie

Ditkin sets for the Fourier algebra $A(G/K),$ where $K$ is a compact subgroup of a locally compact group $G,$ are studied. The main results discussed are injection theorems, direct image theorems and the relation between Ditkin sets and operator Ditkin sets and, in the compact case, the inverse projection theorem for strong Ditkin sets and the relation between strong Ditkin sets for the Fourier algebra and the Varopoulos algebra. Results on unions of Ditkin sets and on tensor products are also given.

Autorzy

  • Krishnan ParthasarathyRamanujan Institute for Advanced Study in Mathematics
    University of Madras
    Chennai 600 005, India
    e-mail
  • Nageswaran Shravan KumarRamanujan Institute for Advanced Study in Mathematics
    University of Madras
    Chennai 600 005, India
    e-mail

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