Perluasan operator Hilbert-Schmid dan operator Carleman pada ruang Banach

ANSORI, Muslim, Promotor Prof. Dr. Soeparna Darmawijaya

2010 | Disertasi | S3 Ilmu Matematika

Disertasi ini merupakan suatu kajian tentang pengembangan konsep-konsep operator Hilbert-Schmidt yang bekerja pada ruang Hilbert ke ruang Banach refleksif yang mempunyai basis dan pengembangan operator Carleman yang bekerja pada ruang Hilbert ke ruang Banach refleksif. Selanjutnya, dikonstruksikan pengertian operator baru yang dinamakan operator-SM berdasarkan konsep-konsep operator Hilbert-Schmidt dan operator-DA berdasarkan konsep-konsep operator Carleman.

This dissertation is a study of generalization concepts of Hilbert-Schmidt operators acting on separable Hilbert spaces to reflexive Banach spaces with bases and a study of generalization concepts of Carleman operators acting on Hilbert spaces to reflexive Banach spaces. Further, a new operator called SM-operator has been constructed based on concepts of the Hilbert-Schmidt operators and DA-operator has been constructed based on concepts of Carleman operator.

Kata Kunci : Operator Hilbert-Schmidt,Operator Carlemen,Ruang Banach, Hilbert-Schmidt operators, Carleman operators