Ditkin sets in homogeneous spaces

Krishnan Parthasarathy; Nageswaran Shravan Kumar

Studia Mathematica (2011)

  • Volume: 203, Issue: 3, page 291-307
  • ISSN: 0039-3223

Abstract

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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.

How to cite

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Krishnan Parthasarathy, and Nageswaran Shravan Kumar. "Ditkin sets in homogeneous spaces." Studia Mathematica 203.3 (2011): 291-307. <http://eudml.org/doc/285462>.

@article{KrishnanParthasarathy2011,
abstract = {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.},
author = {Krishnan Parthasarathy, Nageswaran Shravan Kumar},
journal = {Studia Mathematica},
keywords = {Fourier algebra; Varopoulos algebra; Ditkin sets},
language = {eng},
number = {3},
pages = {291-307},
title = {Ditkin sets in homogeneous spaces},
url = {http://eudml.org/doc/285462},
volume = {203},
year = {2011},
}

TY - JOUR
AU - Krishnan Parthasarathy
AU - Nageswaran Shravan Kumar
TI - Ditkin sets in homogeneous spaces
JO - Studia Mathematica
PY - 2011
VL - 203
IS - 3
SP - 291
EP - 307
AB - 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.
LA - eng
KW - Fourier algebra; Varopoulos algebra; Ditkin sets
UR - http://eudml.org/doc/285462
ER -

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