SPECIAL OPERATOR CLASSES AND THEIR PROPERTIES

KARAEV, Muebariz; Guerdal, Mehmet; Yamanci, Ulaş

doi:10.15352/bjma/1363784224

SPECIAL OPERATOR CLASSES AND THEIR PROPERTIES

KARAEV M. T., Guerdal M., Yamanci U.

BANACH JOURNAL OF MATHEMATICAL ANALYSIS, cilt.7, sa.2, ss.74-85, 2013 (SCI-Expanded, Scopus)

Yayın Türü: Makale / Tam Makale
Cilt numarası: 7 Sayı: 2
Basım Tarihi: 2013
Doi Numarası: 10.15352/bjma/1363784224
Dergi Adı: BANACH JOURNAL OF MATHEMATICAL ANALYSIS
Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
Sayfa Sayıları: ss.74-85
Anahtar Kelimeler: Compact operator, Schatten-von Neumann classes, Berezin symbol, s-number, Abel convergence., BEREZIN SYMBOLS
Süleyman Demirel Üniversitesi Adresli: Evet

Özet

We introduce some special operator classes and study in terms of Berezin symbols their properties. In particular, we give some characterizations of compact operators and Schatten-von Neumann class operators in terms of Berezin symbols. We also consider some classes of compact operators on a Hilbert space H, which are generalizations of the well known Schatten-von Neumann classes of compact operators. Namely, for any number p, 0 < p < infinity, and the sequence w := (w(n))(n >= 0) of complex numbers w(n), n > 0, we define the following classes of compact operators on H: