Volume no :4, Issue no: 1, January 2010

Journal of Mathematical Sciences: Advances and Applications

ON CLOSEDNESS OF THE RANGE OF THE OPERATOR DEFINED ON WHEN IS M-HYPONORMAL

Author's: Vasile Lauric
Pages: [1] - [8]
Received Date: April 15, 2009
Submitted by:

Abstract

We show how a proof of Stampfli can be extended to prove that the operator defined on the Hilbert-Schmidt class, when T is an M-hyponormal operator, has a closed range, if and only if is finite.

Keywords

M-hyponormal operators, Hilbert-Schmidt class, closed range.