[ABSTRAK
Teori spektral adalah salah satu cabang utama dari analisis fungsional. Dalam teorispektral, dipelajari mengenai operator-operator inversi dari operator linear. Yangdiperhatikan adalah sifat-sifat umumnya dan hubungan dengan operator linearaslinya. Dalam teori spektral, dikenal dua himpunan yang saling bebas yaituspektrum dan himpunan resolvent. Operator linear yang diperhatikan pada skripsiini adalah operator linear terbatas dan operator linear self adjoint terbatas yangtelah dikenal di analisis fungsional. Sifat spektrum dan himpunan resolvent darikedua operator linear tersebut menjadi hal utama yang dikaji di skripsi ini.;

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ABSTRACT
Spectral theory is one of the main branches of functional analysis. Spectral theoryis study about the inverse operators of linear operator. It is concerned with theirgeneral properties and their relations to the original linear operator. In spectraltheory, there are two adjoint sets called spectrum and resolvent set. There are twolinear operators in this undergraduate thesis, they are bounded linear operator andbounded self adjoint linear operator from functional analysis. Spectrum andresolvent set properties of those linear operators is the main part of thisundergraduate thesis., Spectral theory is one of the main branches of functional analysis. Spectral theoryis study about the inverse operators of linear operator. It is concerned with theirgeneral properties and their relations to the original linear operator. In spectraltheory, there are two adjoint sets called spectrum and resolvent set. There are twolinear operators in this undergraduate thesis, they are bounded linear operator andbounded self adjoint linear operator from functional analysis. Spectrum andresolvent set properties of those linear operators is the main part of thisundergraduate thesis.]