Ditkin sets in homogeneous spaces

• Autorzy: Krishnan Parthasarathy , Nageswaran Shravan Kumar
• Języki publikacji: EN

Abstrakty

EN

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.

Kategorie tematyczne

• 46L07: Operator spaces and completely bounded maps
• 43A85: Analysis on homogeneous spaces
• 43A45: Spectral synthesis on groups, semigroups, etc.

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Studia Mathematica
• Rocznik: 2011
• Tom: 203
• Numer: 3
• Strony: 291-307

Daty

wydano

2011

Twórcy

autor

Krishnan Parthasarathy

• Ramanujan Institute for Advanced Study in Mathematics, University of Madras, Chennai 600 005, India

autor

Nageswaran Shravan Kumar

• Ramanujan Institute for Advanced Study in Mathematics, University of Madras, Chennai 600 005, India

Identyfikatory

DOI

10.4064/sm203-3-5