q-Difference Operator and Its q-Cohyponormality

SERTBAŞ, MELTEM; Saral, Coskun

doi:10.1007/s11785-020-01043-w

q-Difference Operator and Its q-Cohyponormality

SERTBAŞ M., Saral C.

COMPLEX ANALYSIS AND OPERATOR THEORY, cilt.14, sa.8, 2020 (SCI-Expanded, Scopus)

Yayın Türü: Makale / Tam Makale
Cilt numarası: 14 Sayı: 8
Basım Tarihi: 2020
Doi Numarası: 10.1007/s11785-020-01043-w
Dergi Adı: COMPLEX ANALYSIS AND OPERATOR THEORY
Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, MathSciNet, zbMATH
Anahtar Kelimeler: Minimal and maximal operators, q-difference operator, q-hyponormal operator, q-cohyponormal operator, Spectrum
Karadeniz Teknik Üniversitesi Adresli: Evet

Özet

In this study the minimal and maximal operator generated by q-difference expression and their adjoint operators are introduced in L-q(2)(0,1). Any closed extension of the minimal operator is studied. Also, the structure of the spectrum of the minimal operator and the maximal operator are investigated.