Definition talk:C*-Algebra

FWIW this is somewhat antiquated terminology, the modern terminology is "C*-algebra". Caliburn (talk) 13:57, 6 January 2023 (UTC)


 * Any sources for this are welcome. --prime mover (talk) 14:46, 6 January 2023 (UTC)


 * I will try to track one down. But I think we should definitely work with "C*-algebra" since Wikipedia suggests the B* term hasn't been used actively since the 40s. C* algebras are definitely on my to do list so this should get done in due time. Caliburn (talk) 21:41, 6 January 2023 (UTC)


 * I added a reference that is AFAIK a modern one. In the old literature, this definition was called $B^*$-algebra, while $C^*$-algebra was defined replacing $(B^*

5)$ by
 * $(C^* 5):\quad \norm {x x^*} = \norm {x^*} \norm x$
 * But after the equivalence of $B^*$-algebra and $C^*$-algebra was shown, the old $B^*$-algebra's definition is preferably taken to define $C^*$-algebra. --Usagiop (talk) 21:50, 6 January 2023 (UTC)


 * Yep okay, this is something I know little about. You've seen how this sort of thing is handled, feel free to tidy this up. My only source is my beloved Borwein and Borowsky. Brain no longer sharp but heart still red. --prime mover (talk) 23:18, 6 January 2023 (UTC)