On Weak Spectral Synthesis

نویسندگان

  • K. PARTHASARATHY
  • SUJATHA VARMA
چکیده

The main purpose of this note is to observe that the celebrated theorem of Malliavin on the failure of spectral synthesis for the group algebra L{G) of a non compact locally compact abelian group G can be strengthened to get the failure of weak spectral synthesis (in the sense of Warner [7]) for £(G) and also for the "generalised group algebra" L{G, A). Let A be a commutative, semisimple, regular Banach algebra with maximal ideal space A. For a closed subset E of A let

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تاریخ انتشار 2008