ON SELFADJOINT DILATION OF THE DISSIPATIVE EXTENSION OF A DIRECT SUM DIFFERENTIAL OPERATOR
BANACH JOURNAL OF MATHEMATICAL ANALYSIS, cilt.7, sa.2, ss.194-207, 2013 (SCI-Expanded, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 7 Sayı: 2
- Basım Tarihi: 2013
- Doi Numarası: 10.15352/bjma/1363784231
- Dergi Adı: BANACH JOURNAL OF MATHEMATICAL ANALYSIS
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
- Sayfa Sayıları: ss.194-207
- Süleyman Demirel Üniversitesi Adresli: Evet
Özet
In this paper, we describe all maximal dissipative, maximal accretive and selfadjoint extensions of the minimal symmetric direct sum differential operators. Further using the equivalence of the Lax-Phillips scattering function and the Sz.-Nagy-Foias, characteristic function we show that all eigen and associated functions of the maximal dissipative extension of the minimal symmetric direct sum operator are complete in L-w(2) (Omega), where Omega = Omega(1) boolean OR Omega(2), Omega(1) = (0, c) and Omega(2) = c, infinity)