Journal of the Chungcheong Mathematical Society (충청수학회지)

The Chungcheong Mathematical Society (충청수학회)
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ANOTHER PROOF THAT Aγ(G) AND A∆(G) ARE BANACH ALGEBRAS

  • Lee, Hun Hee (Department of Mathematics, Chungbuk National University)
  • Received : 2011.03.29
  • Accepted : 2011.05.24
  • Published : 2011.06.30
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Abstract

We provide another unified proof that $A_{\gamma}(G)$ and $A_{\Delta}(G)$ are Banach algebras for a compact group G, where $A_{\gamma}(G)$ and $A_{\Delta}(G)$ are images of the convolution and the twisted convolution, respectively, on $A(G{\times}G)$. Our new approach heavily depends on analysis of co-multiplication on VN(G), the group von-Neumann algebra of G.

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Acknowledgement

Supported by : Chungbuk National University, National Research Foundation of Korea(NRF)

References

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