ASPECTS OF LOCAL SPECTRAL THEORY FOR POSITIVE OPERATORS

被引：0

作者：

MEYERNIEBERG, P ^{[1
]}

机构：

[1] UNIV OSNABRUCK,FACHBEREICH MATH INFORMAT,W-4500 OSNABRUCK,GERMANY

来源：

ACTA APPLICANDAE MATHEMATICAE | 1992年 / 27卷 / 1-2期

关键词：

BANACH SPACE; OPERATOR EQUATION; LINEAR OPERATOR; SPECTRAL THEORY;

D O I：

10.1007/BF00046640

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we will discuss the local spectral behaviour of a closed, densely defined, linear operator on a Banach space. In particular, we are interested in closed, positive, linear operators, defined on an order dense ideal of a Banach lattice. Moreover, for positive, bounded, linear operators we will treat interpolation properties by means of duality.

引用

页码：91 / 100

页数：10

共 50 条

[1] SOME ASPECTS OF THE SPECTRAL THEORY OF POSITIVE OPERATORS
ZHANG, XD
[J]. ACTA APPLICANDAE MATHEMATICAE, 1992, 27 (1-2) : 135 - 142
[2] ON THE LOCAL SPECTRAL THEORY FOR POSITIVE AND NONPOSITIVE OPERATORS
MEYERNIEBERG, P
[J]. INDAGATIONES MATHEMATICAE-NEW SERIES, 1991, 2 (03): : 319 - 325
[3] On the local spectral radius of positive operators
Zima, M
[J]. PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2003, 131 (03) : 845 - 850
[4] Local spectral theory and orbits of operators
Miller, TL
Miller, VG
[J]. PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1999, 127 (04) : 1029 - 1037
[5] LOCAL SPECTRAL THEORY AND QUASINILPOTENT OPERATORS
Yoo, Jong-Kwang
[J]. JOURNAL OF APPLIED MATHEMATICS & INFORMATICS, 2022, 40 (3-4): : 785 - 794
[6] ON THE SPECTRAL THEORY OF POSITIVE OPERATORS AND PDE APPLICATIONS
Chang, Kung-Ching
Wang, Xuefeng
Wu, Xie
[J]. DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS, 2020, 40 (06) : 3171 - 3200
[7] LOCAL SPECTRAL THEORY FOR OPERATORS .5. SPECTRAL SUBSPACES FOR HYPONORMAL OPERATORS
STAMPFLI, JG
[J]. TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 1976, 217 (MAR) : 285 - 296
[8] Local spectral theory for Drazin invertible operators
Aiena, Pietro
Triolo, Salvatore
[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2016, 435 (01) : 414 - 424
[9] A LOCAL SPECTRAL THEORY FOR OPERATORS .2.
STAMPFLI, JG
[J]. BULLETIN OF THE AMERICAN MATHEMATICAL SOCIETY, 1969, 75 (04) : 803 - &
[10] Local spectral theory for normal operators in Krein spaces
Philipp, F.
Strauss, V.
Trunk, C.
[J]. MATHEMATISCHE NACHRICHTEN, 2013, 286 (01) : 42 - 58

← 1 2 3 4 5 →