ARROWHEAD OPERATORS ON A HILBERT SPACE

被引：1
|
作者：
Abderraman Marrero, J. [1 ]
Tomeo, V. [2 ]
机构：
[1] UPM Tech Univ Madrid, Dept Math Appl Informat Technol, Sch Telecommun Engn, Avda Complutense S-N, Madrid 28040, Spain
[2] Univ Complutense, Fac Stat Studies, Dept Algebra, Avda Puerta de Hierro S-N,Ciudad Univ, E-28040 Madrid, Spain
来源：
OPERATORS AND MATRICES | 2016年 / 10卷 / 03期
关键词：
Infinite arrowhead matrix; matrix factorization; arrowhead operator; one-term Sylvester matrix operator; MATRICES; INERTIA;
D O I：
10.7153/oam-10-34
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The arrowhead matrices define a class of one-term Sylvester matrix (OTSM) operators on a finite-dimensional Hilbert space through an elementary UDL factorization. It enables us to consider the infinite invertible arrowhead matrices UDL factored properly for introducing, under suitable conditions, the arrowhead operators and their associated class of OTSM operators on an infinite-dimensional Hilbert space. Properties regarding convergence, inertia, inverses, and spectra are also considered.
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页码：593 / 609
页数：17
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