α-FREDHOLM OPERATORS RELATIVE TO INVARIANT SUBSPACES

被引：0

作者：

Sanchez-Perales, S. ^{[1
]}

Palafox, S. ^{[1
]}

Djordjevic, S., V ^{[2
]}

机构：

[1] Univ Tecnol Mixteca, Inst Fis & Matemat, Km 2-5 Carretera Acatlima, Oaxaca 69000, Oaxaca, Mexico

[2] Benemerita Univ Autonoma Puebla, Fac Ciencias Fis Matemet, Rio Verde & Av San Claudio, San Manuel 72570, Puebla Pue, Mexico

来源：

OPERATORS AND MATRICES | 2019年 / 13卷 / 04期

关键词：

alpha-closed subspaces; alpha-Fredholm operators; invariant subspaces;

D O I：

10.7153/oam-2019-13-65

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let T be a bounded linear operator on a Hilbert space H and let W be a closed T- invariant subspace of H. Then T has a matrix representation on the space W circle plus W-perpendicular to by T = [GRAPHICS] . In this paper, the relationships between the alpha-Fredholm properties of T and those of the pair of operators A and B are studied.

引用

页码：921 / 936

页数：16

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