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Compact Operators and Hilbert – Schmidt Operators
Current Issue
Volume 3, 2015
Issue 4 (August)
Pages: 92-95   |   Vol. 3, No. 4, August 2015   |   Follow on         
Paper in PDF Downloads: 36   Since Aug. 28, 2015 Views: 1680   Since Aug. 28, 2015
Authors
[1]
Nedal Hassan El Badowi Eljaneid, Department of Mathematics, Tabuk University, Tyimaa, Saudi Arabia.
Abstract
This paper dealt with the most important concepts of compact linear operators on Banach and Hilbert spaces: * compact operators are necessarily bounded, any Hilbert –Schmidt operator is bounded and every Hilbert space has a complete orthonormal system. Uses of this paper: The hypothesis of this paper is to clarify all basic knowledge on the important a linear operator, Inverses of operators, A djoint operators, Hermitian operators, The spectrum. This paper can be used to either review or study of compact operators
Keywords
Vector Spaces, Normed Spaces, Eigenvalue, Hilbert Space
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