A note on the differentiable structure of generalized idempotents

Esteban Andruchow; Gustavo Corach; Mostafa Mbekhta

Open Mathematics (2013)

  • Volume: 11, Issue: 6, page 1004-1019
  • ISSN: 2391-5455

Abstract

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For a fixed n > 2, we study the set Λ of generalized idempotents, which are operators satisfying T n+1 = T. Also the subsets Λ†, of operators such that T n−1 is the Moore-Penrose pseudo-inverse of T, and Λ*, of operators such that T n−1 = T* (known as generalized projections) are studied. The local smooth structure of these sets is examined.

How to cite

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Esteban Andruchow, Gustavo Corach, and Mostafa Mbekhta. "A note on the differentiable structure of generalized idempotents." Open Mathematics 11.6 (2013): 1004-1019. <http://eudml.org/doc/269665>.

@article{EstebanAndruchow2013,
abstract = {For a fixed n > 2, we study the set Λ of generalized idempotents, which are operators satisfying T n+1 = T. Also the subsets Λ†, of operators such that T n−1 is the Moore-Penrose pseudo-inverse of T, and Λ*, of operators such that T n−1 = T* (known as generalized projections) are studied. The local smooth structure of these sets is examined.},
author = {Esteban Andruchow, Gustavo Corach, Mostafa Mbekhta},
journal = {Open Mathematics},
keywords = {Generalized idempotents; Generalized projections; generalized idempotents; generalized projections},
language = {eng},
number = {6},
pages = {1004-1019},
title = {A note on the differentiable structure of generalized idempotents},
url = {http://eudml.org/doc/269665},
volume = {11},
year = {2013},
}

TY - JOUR
AU - Esteban Andruchow
AU - Gustavo Corach
AU - Mostafa Mbekhta
TI - A note on the differentiable structure of generalized idempotents
JO - Open Mathematics
PY - 2013
VL - 11
IS - 6
SP - 1004
EP - 1019
AB - For a fixed n > 2, we study the set Λ of generalized idempotents, which are operators satisfying T n+1 = T. Also the subsets Λ†, of operators such that T n−1 is the Moore-Penrose pseudo-inverse of T, and Λ*, of operators such that T n−1 = T* (known as generalized projections) are studied. The local smooth structure of these sets is examined.
LA - eng
KW - Generalized idempotents; Generalized projections; generalized idempotents; generalized projections
UR - http://eudml.org/doc/269665
ER -

References

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