Journal of Mathematical Sciences: Advances and ApplicationsAuthor's: Xiyan Yao and Guibao Gao
Pages: [329] - [335]
Received Date: November 26, 2009
Submitted by:
Let 
and 
be two idempotents on a Hilbert space. In
this note, using the technique of block-operator matrices of bounded
linear operators on a Hilbert space, we prove that the invertibility
of multiplicative combination of two idempotents 
is independent of the choice 
of if
idempotents, invertibility, multiplicative combination.
