Finite Rank and Small Perturbations of Linear Relations

Ezzeddine Chafai; Teresa Álvarez

doi:10.1007/s00009-018-1247-0

Finite Rank and Small Perturbations of Linear Relations

Ezzeddine Chafai
, Teresa Álvarez

Research output: Contribution to journal › Article › peer-review

3 Scopus citations

Abstract

In this paper, we investigate the stability of regular, semi-Fredholm, finite essential ascent and finite essential descent linear relations under small and commuting finite rank perturbations as well as the behavior of the nullity, the defect and the index under such perturbations.

Original language	English
Article number	202
Journal	Mediterranean Journal of Mathematics
Volume	15
Issue number	5
DOIs	https://doi.org/10.1007/s00009-018-1247-0
State	Published - 1 Oct 2018
Externally published	Yes

Keywords

Essential ascent
Essential descent
Linear relation
Regular and semi-Fredholm linear relations

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10.1007/s00009-018-1247-0

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title = "Finite Rank and Small Perturbations of Linear Relations",

abstract = "In this paper, we investigate the stability of regular, semi-Fredholm, finite essential ascent and finite essential descent linear relations under small and commuting finite rank perturbations as well as the behavior of the nullity, the defect and the index under such perturbations.",

keywords = "Essential ascent, Essential descent, Linear relation, Regular and semi-Fredholm linear relations",

author = "Ezzeddine Chafai and Teresa {\'A}lvarez",

note = "Publisher Copyright: {\textcopyright} 2018, Springer Nature Switzerland AG.",

year = "2018",

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doi = "10.1007/s00009-018-1247-0",

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T1 - Finite Rank and Small Perturbations of Linear Relations

AU - Chafai, Ezzeddine

AU - Álvarez, Teresa

PY - 2018/10/1

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N2 - In this paper, we investigate the stability of regular, semi-Fredholm, finite essential ascent and finite essential descent linear relations under small and commuting finite rank perturbations as well as the behavior of the nullity, the defect and the index under such perturbations.

AB - In this paper, we investigate the stability of regular, semi-Fredholm, finite essential ascent and finite essential descent linear relations under small and commuting finite rank perturbations as well as the behavior of the nullity, the defect and the index under such perturbations.

KW - Essential ascent

KW - Essential descent

KW - Linear relation

KW - Regular and semi-Fredholm linear relations

UR - https://www.scopus.com/pages/publications/85054050646

U2 - 10.1007/s00009-018-1247-0

DO - 10.1007/s00009-018-1247-0

M3 - Article

AN - SCOPUS:85054050646

SN - 1660-5446

VL - 15

JO - Mediterranean Journal of Mathematics

JF - Mediterranean Journal of Mathematics

IS - 5

M1 - 202

ER -

Finite Rank and Small Perturbations of Linear Relations

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Keywords

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