ON HYPONORMAL OPERATORS IN KREIN SPACES

被引:0
作者
Esmeral, Kevin [1 ]
Ferrer, Osmin [2 ]
Jalk, Jorge [3 ]
Lora Castro, Boris [3 ]
机构
[1] Univ Caldas, Dept Math, Calle 65 26-10, Manizales, Colombia
[2] Univ Sucre, Dept Math, Carrera 28 5-267 Barrio Puerta Roja, Sincelejo, Colombia
[3] Univ Atlantico, Dept Math, Km 7 Antigua Via Puerto Colombia, Barranquilla, Colombia
来源
ARCHIVUM MATHEMATICUM | 2019年 / 55卷 / 04期
关键词
Hyponormal operators; Krein spaces; J-hyponormal operators;
D O I
10.5817/AM2019-4-249
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
In this paper the hyponormal operators on Krein spaces are introduced. We state conditions for the hyponormality of bounded operators focusing, in particular, on those operators T for which there exists a fundamental decomposition K = K+ circle plus K- of the Krein space K with K+ and K- invariant under T.
引用
收藏
页码:249 / 259
页数:11
相关论文
共 13 条
[1]  
Ando T., 1963, P AM MATH SOC, V14, P290, DOI [10.1090/S0002-9939-1963-0145353-4, DOI 10.2307/2034629]
[2]  
Azizov T.Y., 1989, PURE APPL MATH
[3]  
Berberian SK., 1961, Introduction to Hilbert Space
[4]  
Bognar J., 1974, Ergeb. Math. Grenzgeb., V78
[5]  
Braha NL, 2009, BULL MATH ANAL APPL, V1, P23
[6]  
COWEN CC, 1988, J OPERAT THEOR, V20, P165
[7]  
Esmeral K., 2016, INT J MATH ANAL, V19, P939
[8]  
Halmos PR., 1950, Summa Bras. Math, V2, P125
[9]  
MCENNIS BW, 1982, J OPERAT THEOR, V8, P219
[10]  
Putnam C.R., 1957, PAC J MATH, V7, P1649