Reproducing kernels, Engliš algebras and some applications

• Autorzy: Mubariz T. Karaev , Mehmet Gürdal , Mualla Birgül Huban
• Języki publikacji: EN

Abstrakty

EN

We introduce the notion of Engliš algebras, defined in terms of reproducing kernels and Berezin symbols. Such algebras were apparently first investigated by Engliš (1995). Here we give some new results on Engliš C*-algebras on abstract reproducing kernel Hilbert spaces and some applications to various questions of operator theory. In particular, we give applications to Riccati operator equations, zero Toeplitz products, and the existence of invariant subspaces for some operators.

Kategorie tematyczne

• 47B35: Toeplitz operators, Hankel operators, Wiener-Hopf operators

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Studia Mathematica
• Rocznik: 2016
• Tom: 232
• Numer: 2
• Strony: 113-141

Daty

wydano

2016

Twórcy

autor

Mubariz T. Karaev

• Institute of Mathematics and Mechanics, National Academy of Sciences of Azerbaijan, B. Vagabzade st. 9, Baku 370141, Azerbaijan
• Department of Mathematics, College of Science, King Saud University, P.O. Box 2455, Riyadh 11451, Saudi Arabia

autor

Mehmet Gürdal

• Department of Mathematics, Suleyman Demirel University, 32260 Isparta, Turkey

autor

Mualla Birgül Huban

• Department of Mathematics, Suleyman Demirel University, 32260 Isparta, Turkey

Identyfikatory

DOI

10.4064/sm8385-4-2016