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De la Sen, M. (2013) On a Class of Self-Adjoint Compact Operators in Hilbert Spaces and Their Relations with Their Finite-Range Truncations. Abstract and Applied Analysis, 2013, 1-15.

has been cited by the following article:

• TITLE: Compact Operators on Hilbert Spaces

  AUTHORS: Sara Nozari

  KEYWORDS: Compact Operator, Linear Projections, Heine-Borel Property

  JOURNAL NAME: Open Access Library Journal, Vol.1 No.6, September 18, 2014

  ABSTRACT: 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).