Fredholm Spectra and Weyl Type Theorems for Drazin Invertible Operators

被引:21
作者
Aiena, Pietro [1 ]
Triolo, Salvatore [1 ]
机构
[1] Univ Palermo, DEIM, Viale Sci, I-90128 Palermo, Italy
关键词
Fredholm theory; Browder and Weyl type theorems; Drazin invertible operators;
D O I
10.1007/s00009-016-0751-3
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this paper we investigate the relationship between some spectra originating from Fredholm theory of a Drazin invertible operator and its Drazin inverse, if this does exist. Moreover, we study the transmission of Weyl type theorems from a Drazin invertible operator R, to its Drazin inverse S.
引用
收藏
页码:4385 / 4400
页数:16
相关论文
共 19 条
[1]   Some characterizations of operators satisfying a-Browder's theorem [J].
Aiena, P ;
Carpintero, C ;
Rosas, E .
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2005, 311 (02) :530-544
[2]  
Aiena P., 2015, MOROCCAN J PURE APPL, V1, P91
[3]  
Aiena P., 2004, Fredholm and Local Spectral Theory, with Application to Multipliers
[4]   Variations on Weyl's theorem [J].
Aiena, Pietro ;
Pena, Pedro .
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2006, 324 (01) :566-579
[5]   Browder's theorems through localized SVEP [J].
Aiena, Pietro ;
Biondi, Maria Teresa .
MEDITERRANEAN JOURNAL OF MATHEMATICS, 2005, 2 (02) :137-151
[6]   Local spectral theory for Drazin invertible operators [J].
Aiena, Pietro ;
Triolo, Salvatore .
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2016, 435 (01) :414-424
[7]   Localized SVEP, Property (b) and Property (ab) [J].
Aiena, Pietro ;
Guillen, Jesus R. ;
Pena, Pedro .
MEDITERRANEAN JOURNAL OF MATHEMATICS, 2013, 10 (04) :1965-1978
[8]   Polaroid type operators under quasi-affinities [J].
Aiena, Pietro ;
Cho, Muneo ;
Gonzalez, Manuel .
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2010, 371 (02) :485-495
[9]   Weyl Type Theorems for Left and Right Polaroid Operators [J].
Aiena, Pietro ;
Aponte, Elvis ;
Balzan, Edixon .
INTEGRAL EQUATIONS AND OPERATOR THEORY, 2010, 66 (01) :1-20
[10]  
[Anonymous], 2003, Spectral theory of linear operators and spectral systems in Banach algebras