OPERATOR KOMPAK
DOI:
https://doi.org/10.33387/dpi.v2i1.107Abstrak
Diketahui H1 dan H2 dua ruang Hilbert, B(H1,H2) merupakan koleksi semua operator (fungsi linear kontinu) dari H1 ke H2 . Jika H1 separabel dengan basis orthonormal {en: n anggota N} maka T elemen B(H1, H2) disebut operator Hilbert-Schmidt. Koleksi semua operator Hilbert-Shcmidt dari ruang Hilbert separabel  ke ruang Hilbert separabel dinotasikan dengan . disebut operator kompakjika untuk setiap barisan  yang terbatas, terdapat barisan bagian  yang konvergen.Koleksi semua operator kompak dari ruang Hilbert  ke ruang Hilbert dinotasikan dengan . Akan ditunjukan setiap T elemen B2 (H1, H2) merupakan operator kompak.
Unduhan
Diterbitkan
Terbitan
Bagian
Lisensi
Authors who publish with Delta-Pi: Jurnal Matematika dan Pendidikan Matematika agree to the following terms:
Creative Commons License
Delta-Pi : Jurnal Matematika dan Pendidikan Matematika is licensed under a Creative Commons Attribution 4.0 International License.
This journal provides immediate open access to its content on the principle that making research freely available to the public supports a greater global exchange of knowledge. Delta-pi offers all authors of journal articles allows their research openly available, free access and time restrictions.
All articles published Open Access will be immediately and permanently free for everyone to read and download. Under the CC-BY license, authors retain ownership of the copyright for their article, but authors grant others permission to use the content of publications in Delta-pi in whole or in part provided that the original work is properly cited. Users (redistributors) of AKSIOMA are required to cite the original source, including the author's names, Delta-pi as the initial source of publication, year of publication, volume number and DOI (if available).
