INVESTIGADORES
ANDRUCHOW Esteban
artículos
Título:
A note on the differentiable structure of generalized idempotents
Autor/es:
ESTEBAN ANDRUCHOW, GUSTAVO CORACH, MOSTAFA MBEKHTA
Revista:
CENTRAL EUROPEAN JOURNAL OF MATHEMATICS - (Print)
Editorial:
VERSITA
Referencias:
Lugar: Varsovia; Año: 2013 vol. 11 p. 1004 - 10019
ISSN:
1895-1074
Resumen:
For a fixed n > 2, we study the set of generalized idempotents, which are operators satisfying T^{n+1} = T. Also the subsets of operators such that T^{n-1} is the Moore- Penrose pseudo-inverse of T, and the subset of operators such that T^{n-1} = T^* (known as generalized projections) are studied. The local smooth structure of these sets is examined.