On Some Problems for Reproducing Kernel Hilbert Space Operators via the Berezin Transform

被引：10

作者：

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

Tapdigoglu, R. ^{[3
]}

机构：

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

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

[3] Sabanci Univ, Fac Engn & Nat Sci, TR-34956 Istanbul, Turkey

来源：

MEDITERRANEAN JOURNAL OF MATHEMATICS | 2022年 / 19卷 / 01期

关键词：

Reproducing kernel; reproducing kernel Hilbert space; Berezin transform; generalized Riccati operator equation; truncated operator; zero operator product; Englis algebra; TOEPLITZ-OPERATORS; BERGMAN SPACE; PRODUCTS; QUESTIONS; INVARIANT;

D O I：

10.1007/s00009-021-01926-y

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We give some applications of Berezin transforms and Engli ' s C*-algebras methods, namely we investigate the solution of generalized Riccati operator equation of the form XAX + Sigma(N)(i=1) BiXCi - D = 0, N >= 2 via Berezin transforms. Also, we study finite product of operators, including finite zero-product of Toeplitz operators on the Bergman Hilbert space L-a(2) (D) in terms of Berezin transforms. The same method is used for characterization of compact truncated operators on the reproducing kernel Hilbert space H = H(Omega)

引用

页数：16

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