IJPAM: Volume 68, No. 2 (2011)
ON COUNTABLE SETS OF ORDER PRESERVING
OPERATOR INEQUALITIES IN HILBERT SPACES
OPERATOR INEQUALITIES IN HILBERT SPACES
C.-S. Lin
Department of Mathematics
Bishop's University
2600 College Street, Sherbrooke, QC, J1M 1Z7, CANADA
e-mail: plin@ubishops.ca
Department of Mathematics
Bishop's University
2600 College Street, Sherbrooke, QC, J1M 1Z7, CANADA
e-mail: plin@ubishops.ca
Abstract. In this paper we show that the well-known Furuta inequality can be expressed in countable sets of operator inequalities in two forms:


Received: December 3, 2010
AMS Subject Classification: 47A63, 47A6
Key Words and Phrases: Hilbert space, positive operator,


Source: International Journal of Pure and Applied Mathematics
ISSN: 1311-8080
Year: 2011
Volume: 68
Issue: 2