Timeline for An example of a Banach algebra with a specified property
Current License: CC BY-SA 4.0
6 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Mar 9, 2019 at 20:05 | review | Close votes | |||
| Mar 19, 2019 at 20:05 | |||||
| Jan 21, 2019 at 3:20 | review | Close votes | |||
| Jan 24, 2019 at 20:02 | |||||
| Jan 18, 2019 at 12:28 | comment | added | Yemon Choi | Just to reply to the particular wording of the question: it is far more valuable to learn how to think about (Banach) algebras using basic logic and invention than to seek a ready-made list of counterexamples in "a good reference". Basically, if you cannot prove "all Banach algebras have property X", examine where your proof breaks down, and you may be led to construct a counterexample by yourself | |
| Jan 17, 2019 at 21:45 | comment | added | Fermat | Thank you very much @Uriya First this simple (and nice of course) example works. | |
| Jan 17, 2019 at 21:12 | comment | added | Uriya First | Take the algebra of upper-triangular $3\times 3$ real matrices with $0$ on the diagonal and any non-central $a_0$. More generally, any non-commutative Banach algebra $A$ with $A^3=0$ will work. | |
| Jan 17, 2019 at 20:48 | history | asked | Fermat | CC BY-SA 4.0 |