On stability of outer inverses

Teresa Regińska

Mathematica Applicanda (1985)

  • Volume: 13, Issue: 25
  • ISSN: 1730-2668

Abstract

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The paper is concerned with stability properties of bounded outer inverses for bounded operators on Banach spaces. We investigate the effect of perturbations of subspaces generating outer inverses for a given operator. We prove that the convergence of respective gaps between subspaces implies the convergence in the norm of outer inverses generated by these subspaces. The notion of outer inverses is illustrated by an example which gives the form of outer inverses for an arbitrary matrix.

How to cite

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Teresa Regińska. "On stability of outer inverses." Mathematica Applicanda 13.25 (1985): null. <http://eudml.org/doc/293046>.

@article{TeresaRegińska1985,
abstract = {The paper is concerned with stability properties of bounded outer inverses for bounded operators on Banach spaces. We investigate the effect of perturbations of subspaces generating outer inverses for a given operator. We prove that the convergence of respective gaps between subspaces implies the convergence in the norm of outer inverses generated by these subspaces. The notion of outer inverses is illustrated by an example which gives the form of outer inverses for an arbitrary matrix.},
author = {Teresa Regińska},
journal = {Mathematica Applicanda},
keywords = {General theory of linear operators},
language = {eng},
number = {25},
pages = {null},
title = {On stability of outer inverses},
url = {http://eudml.org/doc/293046},
volume = {13},
year = {1985},
}

TY - JOUR
AU - Teresa Regińska
TI - On stability of outer inverses
JO - Mathematica Applicanda
PY - 1985
VL - 13
IS - 25
SP - null
AB - The paper is concerned with stability properties of bounded outer inverses for bounded operators on Banach spaces. We investigate the effect of perturbations of subspaces generating outer inverses for a given operator. We prove that the convergence of respective gaps between subspaces implies the convergence in the norm of outer inverses generated by these subspaces. The notion of outer inverses is illustrated by an example which gives the form of outer inverses for an arbitrary matrix.
LA - eng
KW - General theory of linear operators
UR - http://eudml.org/doc/293046
ER -

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