Singular Value Inequalities for Compact Normal Operators - Advances in Linear Algebra & Matrix Theory

ALAMT > Vol.3 No.4, December 2013

Singular Value Inequalities for Compact Normal Operators ()

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DOI: 10.4236/alamt.2013.34007 3,396 Downloads 8,220 Views

Author(s)

Wasim Audeh

Affiliation(s)

Department of Basic Sciences, Petra University, Amman, Jordan.

ABSTRACT

We give singular value inequality to compact normal operators, which states that if

is compact normal operator on a complex separable Hilbert space, where

is the cartesian decomposition of

, then

Moreover, we give inequality which asserts that if

is compact normal operator, then

.Several inequalities will be proved.

KEYWORDS

Compact Operator; Inequality; Normal Operator; Self-Adjoint Operator; Singular Value

Share and Cite:

W. Audeh, "Singular Value Inequalities for Compact Normal Operators," Advances in Linear Algebra & Matrix Theory, Vol. 3 No. 4, 2013, pp. 34-38. doi: 10.4236/alamt.2013.34007.

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