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I want to show that the maximal ideal space of the Wiener algebra $W$ is $ \{ M_z : z \in \mathbb{T} \}$ where $M_z = \{ g \in W : g(z)=0 \}$

Could you please help me?

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    Also, the symbol $\mathbb{T}$ for the unit circle is not very common; it wouldn't hurt to introduce it.2011-04-06
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    Done =).. I still need a help =\2011-04-06
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    Yes -- I was helping you by making it easier for others who might be able to help you to understand your question :-)2011-04-06
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    You need to show three things: a) Each $M_z$ is an ideal. b) Each of these ideals is maximal. c) There are no other maximal ideals. Which of these are you having difficulties with, and what have you tried?2011-04-06
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    You may have misunderstood my comment about $\mathbb{T}$ -- I didn't mean to say you should make the T blackboard bold (though it's good that you did); I meant that people might not know that this refers to the unit circle and you should introduce it by defining it. The point of all these comments is that there are a lot of people here (like myself) who don't specifically know much about the Wiener algebra and the notation used in its context, but know enough about maximal ideals to be able to help you nevertheless.2011-04-06

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