Compact Operators and Hilbert – Schmidt Operators
[1]
Nedal Hassan El Badowi Eljaneid, Department of Mathematics, Tabuk University, Tyimaa, Saudi Arabia.
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
Vector Spaces, Normed Spaces, Eigenvalue, Hilbert Space
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