Reproducing kernels, Englis algebras and some applications

被引：19

作者：

Karaev, Mubariz T. ^{[1
,2
]}

Gurdal, Mehmet ^{[3
]}

Huban, Mualla Birgul ^{[3
]}

机构：

[1] Natl Acad Sci Azerbaijan, Inst Math & Mech, B Vagabzade St 9, Baku 370141, Azerbaijan

[2] King Saud Univ, Coll Sci, Dept Math, POB 2455, Riyadh 11451, Saudi Arabia

[3] Suleyman Demirel Univ, Dept Math, TR-32260 Isparta, Turkey

来源：

STUDIA MATHEMATICA | 2016年 / 232卷 / 02期

关键词：

reproducing kernel; Berezin symbol; Riccati equation; invariant subspace; Toeplitz operator; Hardy space; EXTENDED EIGENVALUES; BEREZIN TRANSFORM; EIGENVECTORS; INVARIANT; OPERATORS;

D O I：

10.4064/sm8385-4-2016

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We introduce the notion of Englis algebras, defined in terms of reproducing kernels and Berezin symbols. Such algebras were apparently first investigated by Englis (1995). Here we give some new results on Englis 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.

引用

页码：113 / 141

页数：29