Berezin symbol and invertibility of operators on the functional Hilbert spaces

被引:98
作者
Karaev, Mubariz T. [1 ]
机构
[1] Suleyman Demirel Univ, Isparta MYO Vocat Sch, TR-32260 Isparta, Turkey
关键词
Hardy space; Bergman space; Toeplitz operator; Berezin symbol; reproducing kernel;
D O I
10.1016/j.jfa.2006.04.030
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
We give in terms of reproducing kernel and Berezin symbol the sufficient conditions ensuring the invertibility of some linear bounded operators on some functional Hilbert spaces. (C) 2006 Elsevier Inc. All rights reserved.
引用
收藏
页码:181 / 192
页数:12
相关论文
共 20 条
[1]  
Berezin F. A., 1974, MATH USSR IZV, V8, P1109, DOI 10.1070/IM1974v008n05ABEH002140
[2]  
Berezin FA., 1972, Izv. Akad. Nauk SSSR Ser. Mat, V6, P1117, DOI 10.1070/IM1972v006n05ABEH001913
[3]  
BOTTCHER A, 1983, INVERTIBILITY ASYMPT
[4]   Functional models and asymptotically orthonormal sequences [J].
Chalendar, I ;
Fricain, E ;
Timotin, D .
ANNALES DE L INSTITUT FOURIER, 2003, 53 (05) :1527-+
[5]  
DOUGLAS RG, 1973, CBMS REG C SER MATH, V15
[6]  
Fricain E, 2001, J OPERAT THEOR, V46, P517
[7]  
Gohberg I.C., 1969, Transl. Math. Monographs, V18
[8]  
Halmos P. R., 1982, HILBERT SPACE PROBLE
[9]  
HEDENMALM H, 2000, GRAD TEXTS MATH
[10]  
KARAEV M. T., 2003, ZAP NAUCH SEMIN POMI, V270, P2135