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@Wojowu it is a Banach algebra structure but what about injective Banach algebra morphisms?You possibly means that it is non rigid as a Banach algebra too?
@SArgyros I have no idea. is n fix in your question? Do you mean that such a possible $\epsilon$ and $\delta$ work for all $n\in \mathbb{N}$? Could you plz elaborate the last part of your comment? (In particular the measur language you used in the last part). Is $\mu_{x_n}$ the dirac measure ? Or some thing else?
@მამუკაჯიბლაძე I can not find your home page and your email address. I would appreciate if you send me an email to my yahoo email "[email protected]". Thank you