Behavior of the extended spectral measure of a self-adjoint operator at infinity

被引：0

作者：

M. L. Gorbachuk

V. I. Gorbachuk

机构：

来源：

Ukrainian Mathematical Journal | 1997年 / 49卷 / 4期

关键词：

Naukova Dumka; Spectral Function; Spectral Measure; Exponential Type; Integral Vector;

D O I：

10.1007/BF02487318

中图分类号：

学科分类号：

摘要：

We study the dependence of the rate of growth of the extended spectral measure of a self-adjoint operator at infinity on the order of singularity of the vector on which this measure is considered.

引用

页码：561 / 568

页数：7

共 50 条

[1] SPARABILITY OF SPECTRAL SUBSPACES OF NOT SELF-ADJOINT OPERATOR
NABOKO, SN
DOKLADY AKADEMII NAUK SSSR, 1978, 239 (05): : 1052 - 1055
[2] ON POINTWISE BEHAVIOR OF ITERATES OF A SELF-ADJOINT OPERATOR
ORNSTEIN, D
JOURNAL OF MATHEMATICS AND MECHANICS, 1968, 18 (05): : 473 - &
[3] Self-adjoint analytic operator functions and their local spectral function
Langer, H
Markus, A
Matsaev, V
JOURNAL OF FUNCTIONAL ANALYSIS, 2006, 235 (01) : 193 - 225
[4] On the Spectral Properties of a Fourth-Order Self-Adjoint Operator
D. M. Polyakov
Differential Equations, 2023, 59 : 168 - 173
[5] NEAREST SELF-ADJOINT OPERATOR
DUPRE, MJ
GOLDSTEIN, JA
LEVY, M
JOURNAL OF CHEMICAL PHYSICS, 1980, 72 (01): : 780 - 781
[6] On the Spectral Properties of a Fourth-Order Self-Adjoint Operator
Polyakov, D. M.
DIFFERENTIAL EQUATIONS, 2023, 59 (02) : 168 - 173
[7] THE NEAREST SELF-ADJOINT OPERATOR
MAHER, PJ
JOURNAL OF CHEMICAL PHYSICS, 1990, 92 (11): : 6978 - 6978
[8] SELF-ADJOINT PHASE OPERATOR
ALIMOV, AL
DAMASKINSKII, EV
THEORETICAL AND MATHEMATICAL PHYSICS, 1979, 38 (01) : 39 - 47
[9] On behavior of the extended spectral function of a selfadjoint operator at infinity
Gorbachuk, V.
1998, (78):
[10] Spectral Estimates and Basis Properties for Self-Adjoint Block Operator Matrices
Michael Strauss
Integral Equations and Operator Theory, 2010, 67 : 257 - 277

← 1 2 3 4 5 →