History of C-star-algebra

	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]

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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 )