[Home]History of C-star-algebra

HomePage | Recent Changes | Preferences

Revision 2 . . November 24, 2001 2:15 am by BenBaker [*added some English paraphrases]
Revision 1 . . November 20, 2001 8:52 am by AxelBoldt [new]
  

Difference (from prior major revision) (no other diffs)

Added: 2a3
: (the involution of the sum of x and y is equal to the sum of the involution of x with the involution of y)

Added: 3a5


Added: 4a7
: (the involution of the product of x and y is equal to the product of the involution of x with the involution of y)

Added: 5a9
: (the involution of the involution of x is equal to x)

Changed: 7c11,12
If the last property is omitted, we speak of a B*-algebra.
: (the norm of the product of x and the involution of x is equal to the norm of x squared )
If the last property is omitted, we speak of a '''B*-algebra'''.

Changed: 11c16,17
* f(xy) = f(x)f(y)
* f(xy) = f(x)f(y) for x and y in A (and x and y in B)
: (the function applied to the product of x and y is equal to product of the function applied to x with the function applied to y )

HomePage | Recent Changes | Preferences
Search: