Re: bijective operators

From: G. A. Edgar (edgar_at_math.ohio-state.edu)
Date: 01/21/05 

Date: 21 Jan 2005 14:45:00 -0500

Until the original poster clarifies, we cannot be sure what was
intended. Here is another possible response: In an infinite-
dimensional Hilbert space, it is no longer true that injective and
surjective are equivalent. For example, in the sequence space
l^2, the right-shift is injective but not surjective, while the
left-shift is surjective but not injective.