Author(s)

Sara Nozari

Department of Mathematics, Farsan Branch, Islamic Azad University, Farsan, Iran.

In this paper, we obtain some results on compact operators. More specially, we prove that if T is a unitary operator on a Hilbert space H, then it is compact if and only if H has a finite dimension. Also, we prove that, if H is a Hilbert space with Heine-Borel property, then K(H) = BL(H).

Compact Operator, Linear Projections, Heine-Borel Property

Nozari, S. (2014) Compact Operators on Hilbert Spaces. Open Access Library Journal, 1, 1-3. doi: 10.4236/oalib.1100853.