SPEKTRUM OPERATOR TERTUTUP DI RUANG HILBERT

Afiffah Nuur Mila Husniana, Prof. Dr. Ch. Rini Indrati, M.Si.

2020 | Skripsi | S1 MATEMATIKA

Pada tugas akhir ini dibahas mengenai spektrum operator linear tertutup pada ruang Hilbert beserta sifat-sifat yang berlaku. Pembahasan dimulai dengan memberikan definisi dan sifat-sifat operator linear tertutup. Selanjutnya, diberikan pembahasan mengenai resolvent dan spektrum operator linear. Pada bagian akhir, diberikan karakteristik spektrum operator linear tertutup pada ruang Hilbert.

In this final project, we discuss spectrum of closed linear operators on Hilbert spaces and their properties. The discussion is started by giving the definition of a closed linear operator and its properties. Then, we discuss resolvent and spectrum of linear operators. In the last section, we give some characteristics of the spectrum of closed linear operators on Hilbert spaces.

Kata Kunci : operator tertutup, spektrum operator, ruang Hilbert