A
A C*-algebra in which invertible elements are dense.
******************************
Consider l¥(W), the C*-algebra of all bounded mappings from a set W into C, f Î l¥(W), e > 0. If
we have g Î l¥(W), ||g-f|| £ 2e.
Since inf|g(t)| ³ e > 0, g is invertible.
Comment. C([a,b]) provides a separable example.
File translated from
TEX
by
TTH,
version 2.70.
On 22 Feb 2001, 00:18.