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2015•Unpublished venueRequires access

Compact Operators and Hilbert - Schmidt Operators

Nedal Hassan El Badowi Eljaneid

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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

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What this paper is about

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

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Available 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

Key concepts: Compact operator on Hilbert space, Nuclear operator, Operator theory, Mathematics, Hilbert space, Hermitian adjoint, Operator norm, Orthonormal basis

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