This fact is an easy consequence of results of the paper by Leon Brown and Takashi Ito, but it looks like an overkill. Does anyone know a simpler proof?

| cite | improve this question | | | | |

In this particular case, you can proceed similarly as in Example 2.1 here. For more general results please consult a fantastic survey on unique preduals by G. Godefroy:

G. Godefroy. Existence and uniqueness of isometric preduals: a survey. In: BorLuh Lin, editor, Banach Space Theory. Proc. of the Iowa Workshop on Banach Space Theory 1987, 131–193. Contemp. Math. 85, 1989.

| cite | improve this answer | | | | |
  • $\begingroup$ do you have electronic copy of this survey. Neither I, nor my institute don't have access to Contemporary Mathematics. $\endgroup$ – Norbert Jan 31 '14 at 12:58
  • $\begingroup$ Norbert, the whole paper is fully available (at least to me) through google books: books.google.co.uk/… $\endgroup$ – Tomasz Kania Jan 31 '14 at 18:23
  • 1
    $\begingroup$ unfortunately it is not fully avaliable for me even via your link $\endgroup$ – Norbert Jan 31 '14 at 20:40

Your Answer

By clicking “Post Your Answer”, you agree to our terms of service, privacy policy and cookie policy

Not the answer you're looking for? Browse other questions tagged or ask your own question.