OPERATOR HIPONORMAL-p PADA RUANG HILBERT (p-HYPONORMAL OPERATORS ON HILBERT SPACES)

GUNAWAN, Dr. Ch. Rini Indrati, M.Si

2015 | Tesis | S2 Matematika

Pada tesis ini dibahas mengenai sifat-sifat operator hiponormal-p, untuk p>0, hubungan operator hiponormal-p dengan operator hiponormal-w, operator Class (A), operator paranormal serta spektrum operator hiponormal-p. Konsep mengenai operator positif, operator isometri parsial, dekomposisi sebarang operator, dan eksistensi operator isometri parsial untuk sebarang operator pada ruang Hilbert digunakan untuk menyelidiki sifat-sifat operator hiponormal-p. Lebih lanjut, pembahasan spektrum operator hiponormal-p diawali dengan konsep proper value.

In this thesis we have studied properties of p- hyponormal operators for p>0, relations p- hyponormal with w- hyponormal operators, Class (A) operators, paranormal operators and spectrum of p- hyponormal operators. The concept of positive operators, partial isometry operators , decomposition of any operator, and the existence of partial isometry operators for any operators on a Hilbert space are used for investigate the properties of p- hyponormal operators,. Furthermore, study of spectrum p- hyponormal operators begin with concept proper value.

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