COMPACT OPERATORS IN THE COMMUTANT OF ESSENTIALLY NORMAL OPERATORS

Mustafayev H., HUSEYNOV F. B.

BANACH JOURNAL OF MATHEMATICAL ANALYSIS, cilt.8, sa.2, ss.1-15, 2014 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 8 Sayı: 2
  • Basım Tarihi: 2014
  • Doi Numarası: 10.15352/bjma/1396640047
  • Dergi Adı: BANACH JOURNAL OF MATHEMATICAL ANALYSIS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.1-15
  • Van Yüzüncü Yıl Üniversitesi Adresli: Evet

Özet

Let T be a bounded, linear operator on a complex, separable, infinite dimensional Hilbert space H. We assume that T is an essentially isometric (resp. normal) operator, that is, I-H - T*T (resp. TT* - T*T) is compact. For the compactness of S from the commutant of T, some necessary and sufficient conditions are found on S. Some related problems are also discussed.