%0 Journal Article
%T Compact Operators on Hilbert Spaces
%A Sara Nozari
%J Open Access Library Journal
%V 1
%N 6
%P 1-3
%@ 2333-9721
%D 2014
%I Open Access Library
%R 10.4236/oalib.1100853
%X In this paper, we obtain some results on compact
operators. More specially, we prove that if <i>T</i> is a unitary operator on a
Hilbert space <i>H</i>, then it is compact if and only if <i>H</i> has a finite
dimension. Also, we prove that, if <i>H</i> is a Hilbert space with Heine-Borel
property, then&nbsp;<img src="http://www.oalib.com:80/image/DEF_PAPERATTACHED_PATH/20140918095730_680.png" alt="" />.
%K Compact Operator
%K Linear Projections
%K Heine-Borel Property
%U http://www.oalib.com/paper/3102505