Compact Operators and Hilbert - Schmidt Operators
Nedal Hassan Elbadowi Eljaneid · 2015
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